TSTP Solution File: COL063-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL063-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 04:45:44 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f2]) ).

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

fof(f10,plain,
    apply(apply(z,y),x) != apply(apply(t,x),apply(z,y)),
    inference(forward_demodulation,[],[f9,f2]) ).

fof(f9,plain,
    apply(apply(z,y),x) != apply(apply(t,x),apply(apply(t,y),z)),
    inference(superposition,[],[f8,f1]) ).

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(f8,plain,
    apply(apply(z,y),x) != apply(apply(apply(b,apply(t,x)),apply(t,y)),z),
    inference(forward_demodulation,[],[f7,f1]) ).

fof(f7,plain,
    apply(apply(z,y),x) != apply(apply(apply(apply(apply(b,b),t),x),apply(t,y)),z),
    inference(forward_demodulation,[],[f6,f1]) ).

fof(f6,plain,
    apply(apply(z,y),x) != apply(apply(apply(apply(b,apply(apply(apply(b,b),t),x)),t),y),z),
    inference(forward_demodulation,[],[f5,f2]) ).

fof(f5,plain,
    apply(apply(z,y),x) != apply(apply(apply(apply(t,t),apply(b,apply(apply(apply(b,b),t),x))),y),z),
    inference(forward_demodulation,[],[f4,f1]) ).

fof(f4,plain,
    apply(apply(z,y),x) != apply(apply(apply(apply(apply(b,apply(t,t)),b),apply(apply(apply(b,b),t),x)),y),z),
    inference(superposition,[],[f3,f1]) ).

fof(f3,axiom,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_f_combinator) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : COL063-3 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 18:36:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (21021)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (21024)WARNING: value z3 for option sas not known
% 0.15/0.38  % (21025)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (21023)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (21022)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (21028)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)
% 0.15/0.38  % (21027)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)
% 0.15/0.38  % (21026)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)
% 0.15/0.38  % (21024)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  % (21027)Also succeeded, but the first one will report.
% 0.15/0.38  % (21028)First to succeed.
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  % (21026)Also succeeded, but the first one will report.
% 0.15/0.39  % (21028)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21021"
% 0.15/0.39  % (21024)Also succeeded, but the first one will report.
% 0.15/0.39  % (21028)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (21028)------------------------------
% 0.15/0.39  % (21028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (21028)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (21028)Memory used [KB]: 741
% 0.15/0.39  % (21028)Time elapsed: 0.004 s
% 0.15/0.39  % (21028)Instructions burned: 3 (million)
% 0.15/0.39  % (21021)Success in time 0.019 s
%------------------------------------------------------------------------------