TSTP Solution File: COL060-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL060-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 04:45:42 EDT 2024

% Result   : Unsatisfiable 0.13s 0.42s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f401,plain,
    $false,
    inference(trivial_inequality_removal,[],[f400]) ).

fof(f400,plain,
    apply(g(apply(apply(b,apply(t,b)),apply(apply(b,b),t))),apply(f(apply(apply(b,apply(t,b)),apply(apply(b,b),t))),h(apply(apply(b,apply(t,b)),apply(apply(b,b),t))))) != apply(g(apply(apply(b,apply(t,b)),apply(apply(b,b),t))),apply(f(apply(apply(b,apply(t,b)),apply(apply(b,b),t))),h(apply(apply(b,apply(t,b)),apply(apply(b,b),t))))),
    inference(superposition,[],[f392,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f392,plain,
    ! [X0] : apply(g(apply(apply(b,apply(t,X0)),apply(apply(b,b),t))),apply(f(apply(apply(b,apply(t,X0)),apply(apply(b,b),t))),h(apply(apply(b,apply(t,X0)),apply(apply(b,b),t))))) != apply(apply(apply(X0,g(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),
    inference(superposition,[],[f374,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).

fof(f374,plain,
    ! [X0,X1] : apply(g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))),apply(f(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))) != apply(apply(apply(X0,f(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),apply(X1,g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),
    inference(superposition,[],[f44,f1]) ).

fof(f44,plain,
    ! [X2,X0,X1] : apply(g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))),apply(f(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))),h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))))) != apply(apply(apply(apply(X0,apply(X1,f(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))))),X2),g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),
    inference(superposition,[],[f17,f1]) ).

fof(f17,plain,
    ! [X0,X1] : apply(g(apply(apply(b,apply(t,X0)),X1)),apply(f(apply(apply(b,apply(t,X0)),X1)),h(apply(apply(b,apply(t,X0)),X1)))) != apply(apply(apply(apply(X1,f(apply(apply(b,apply(t,X0)),X1))),X0),g(apply(apply(b,apply(t,X0)),X1))),h(apply(apply(b,apply(t,X0)),X1))),
    inference(superposition,[],[f5,f2]) ).

fof(f5,plain,
    ! [X0,X1] : apply(g(apply(apply(b,X0),X1)),apply(f(apply(apply(b,X0),X1)),h(apply(apply(b,X0),X1)))) != apply(apply(apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),g(apply(apply(b,X0),X1))),h(apply(apply(b,X0),X1))),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X0] : apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_combinator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL060-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 18:29:22 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (14085)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (14091)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)
% 0.13/0.37  % (14092)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)
% 0.13/0.37  % (14087)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (14090)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)
% 0.13/0.37  % (14088)WARNING: value z3 for option sas not known
% 0.13/0.37  % (14086)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (14088)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)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.38  % (14089)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [3]
% 0.13/0.39  TRYING [4]
% 0.13/0.39  TRYING [4]
% 0.13/0.42  % (14092)First to succeed.
% 0.13/0.42  % (14092)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14085"
% 0.13/0.42  % (14092)Refutation found. Thanks to Tanya!
% 0.13/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42  % (14092)------------------------------
% 0.13/0.42  % (14092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.42  % (14092)Termination reason: Refutation
% 0.13/0.42  
% 0.13/0.42  % (14092)Memory used [KB]: 1718
% 0.13/0.42  % (14092)Time elapsed: 0.048 s
% 0.13/0.42  % (14092)Instructions burned: 102 (million)
% 0.13/0.42  % (14085)Success in time 0.063 s
%------------------------------------------------------------------------------