TSTP Solution File: COL089-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Sun May  5 04:45:51 EDT 2024

% Result   : Unsatisfiable 0.23s 0.42s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   78 (  46   ~;  32   |;   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   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f397,plain,
    $false,
    inference(resolution,[],[f396,f39]) ).

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

fof(f396,plain,
    ~ member(r,comb),
    inference(resolution,[],[f395,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(f395,plain,
    ( ~ member(z,comb)
    | ~ member(r,comb) ),
    inference(duplicate_literal_removal,[],[f394]) ).

fof(f394,plain,
    ( ~ member(r,comb)
    | ~ member(z,comb)
    | ~ member(r,comb) ),
    inference(resolution,[],[f392,f11]) ).

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

fof(f392,plain,
    ( ~ member(comb_app(r,z),comb)
    | ~ member(r,comb) ),
    inference(resolution,[],[f390,f42]) ).

fof(f390,plain,
    ( ~ member(pair(y,z),contract)
    | ~ member(r,comb)
    | ~ member(comb_app(r,z),comb) ),
    inference(duplicate_literal_removal,[],[f388]) ).

fof(f388,plain,
    ( ~ member(pair(y,z),contract)
    | ~ member(r,comb)
    | ~ member(comb_app(r,z),comb)
    | ~ member(comb_app(r,z),comb) ),
    inference(resolution,[],[f322,f12]) ).

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

fof(f322,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(r,X0),comb_app(r,z)),rtrancl(contract))
      | ~ member(pair(y,X0),contract)
      | ~ member(r,comb)
      | ~ member(comb_app(r,z),comb) ),
    inference(resolution,[],[f35,f84]) ).

fof(f84,plain,
    ( ~ member(pair(comb_app(r,y),comb_app(r,z)),rtrancl(contract))
    | ~ member(comb_app(r,z),comb) ),
    inference(resolution,[],[f74,f12]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(r,y),X0),rtrancl(contract))
      | ~ member(pair(X0,comb_app(r,z)),rtrancl(contract)) ),
    inference(resolution,[],[f69,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(f69,plain,
    ! [X0,X1] :
      ( ~ member(pair(X0,X1),rtrancl(contract))
      | ~ member(pair(comb_app(r,p),X0),rtrancl(contract))
      | ~ member(pair(X1,comb_app(r,z)),rtrancl(contract)) ),
    inference(resolution,[],[f66,f36]) ).

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

fof(f66,plain,
    ! [X0,X1] :
      ( ~ trans(rtrancl(contract))
      | ~ member(pair(X1,X0),rtrancl(contract))
      | ~ member(pair(comb_app(r,p),X1),rtrancl(contract))
      | ~ member(pair(X0,comb_app(r,z)),rtrancl(contract)) ),
    inference(resolution,[],[f63,f37]) ).

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

fof(f63,plain,
    ! [X0] :
      ( ~ member(pair(comb_app(r,p),X0),rtrancl(contract))
      | ~ member(pair(X0,comb_app(r,z)),rtrancl(contract)) ),
    inference(resolution,[],[f62,f36]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ trans(rtrancl(contract))
      | ~ member(pair(comb_app(r,p),X0),rtrancl(contract))
      | ~ member(pair(X0,comb_app(r,z)),rtrancl(contract)) ),
    inference(resolution,[],[f37,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(f35,axiom,
    ! [X10,X11,X9,X12] :
      ( member(pair(comb_app(X12,X11),X10),rtrancl(contract))
      | ~ member(pair(X11,X9),contract)
      | ~ member(pair(comb_app(X12,X9),X10),rtrancl(contract))
      | ~ member(X12,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_rls_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n022.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:28:38 EDT 2024
% 0.23/0.36  % CPUTime    : 
% 0.23/0.37  % (4228)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38  % (4231)WARNING: value z3 for option sas not known
% 0.23/0.38  % (4230)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.38  % (4232)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.38  % (4233)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.23/0.38  % (4231)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.38  % (4234)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.23/0.38  % (4229)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.38  % (4235)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.23/0.39  TRYING [1]
% 0.23/0.39  TRYING [2]
% 0.23/0.39  TRYING [3]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [2]
% 0.23/0.42  TRYING [4]
% 0.23/0.42  % (4234)First to succeed.
% 0.23/0.42  % (4234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4228"
% 0.23/0.42  % (4234)Refutation found. Thanks to Tanya!
% 0.23/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.42  % (4234)------------------------------
% 0.23/0.42  % (4234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.42  % (4234)Termination reason: Refutation
% 0.23/0.42  
% 0.23/0.42  % (4234)Memory used [KB]: 1242
% 0.23/0.42  % (4234)Time elapsed: 0.038 s
% 0.23/0.42  % (4234)Instructions burned: 70 (million)
% 0.23/0.42  % (4228)Success in time 0.056 s
%------------------------------------------------------------------------------