%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n003.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 15:51:42 EDT 2022

% Result   : Unsatisfiable 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   21 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (  10   ~;   5   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f247,plain,
    $false,
    inference(unit_resulting_resolution,[],[f9,f7,f39,f8]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sQ0_eqProxy(X2,X3)
      | sQ0_eqProxy(apply(X0,X2),apply(X1,X3))
      | ~ sQ0_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f4]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f39,plain,
    ! [X2,X0,X1] : ~ sQ0_eqProxy(apply(apply(apply(X0,X1),X2),X1),apply(apply(apply(b,combinator),apply(apply(n,X0),X2)),X1)),
    inference(unit_resulting_resolution,[],[f5,f23,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ sQ0_eqProxy(X1,X2)
      | ~ sQ0_eqProxy(X0,X1)
      | sQ0_eqProxy(X0,X2) ),
    inference(equality_proxy_axiom,[],[f4]) ).

fof(f23,plain,
    ! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(apply(apply(b,combinator),X0),X1)),
    inference(unit_resulting_resolution,[],[f7,f13,f11]) ).

fof(f13,plain,
    ! [X0] : ~ sQ0_eqProxy(X0,apply(combinator,X0)),
    inference(unit_resulting_resolution,[],[f6,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ sQ0_eqProxy(X0,X1)
      | sQ0_eqProxy(X1,X0) ),
    inference(equality_proxy_axiom,[],[f4]) ).

fof(f6,plain,
    ! [X1] : ~ sQ0_eqProxy(apply(combinator,X1),X1),
    inference(equality_proxy_replacement,[],[f3,f4]) ).

fof(f3,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

fof(f5,plain,
    ! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(n,X0),X1),X2),apply(apply(apply(X0,X2),X1),X2)),
    inference(equality_proxy_replacement,[],[f2,f4]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_definition) ).

fof(f7,plain,
    ! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(b,X0),X1),X2),apply(X0,apply(X1,X2))),
    inference(equality_proxy_replacement,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

fof(f9,plain,
    ! [X0] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : COL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 16:42:07 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (30073)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.15/0.46  % (30076)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/103Mi)
% 0.15/0.46  % (30075)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.15/0.46  % (30065)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.15/0.46  % (30068)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.15/0.46  % (30067)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.15/0.47  % (30082)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.15/0.47  % (30084)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/495Mi)
% 0.15/0.47  % (30064)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.15/0.47  % (30083)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.15/0.48  % (30081)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.15/0.48  % (30072)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.15/0.49  % (30062)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.15/0.50  % (30064)First to succeed.
% 0.15/0.50  % (30067)Also succeeded, but the first one will report.
% 0.15/0.50  % (30064)Refutation found. Thanks to Tanya!
% 0.15/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50  % (30064)------------------------------
% 0.15/0.50  % (30064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50  % (30064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50  % (30064)Termination reason: Refutation
% 0.15/0.50  
% 0.15/0.50  % (30064)Memory used [KB]: 5628
% 0.15/0.50  % (30064)Time elapsed: 0.114 s
% 0.15/0.50  % (30064)Instructions burned: 14 (million)
% 0.15/0.50  % (30064)------------------------------
% 0.15/0.50  % (30064)------------------------------
% 0.15/0.50  % (30056)Success in time 0.188 s
%------------------------------------------------------------------------------