TSTP Solution File: COL026-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL026-1 : 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 : n032.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 04:45:35 EDT 2024

% Result   : Unsatisfiable 4.56s 0.93s
% Output   : Refutation 4.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9823,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3,f388]) ).

fof(f388,plain,
    ! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(w1,X2),apply(apply(b,apply(b,X0)),X1)),
    inference(superposition,[],[f20,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(f20,plain,
    ! [X2,X0,X1] : apply(apply(w1,X2),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,X2)),X2),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(w1,X0),X1) = apply(apply(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition) ).

fof(f3,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : COL026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Fri May  3 18:32:07 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  % (8745)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.29  % (8746)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.29  TRYING [1]
% 0.13/0.29  TRYING [2]
% 0.13/0.29  % (8748)WARNING: value z3 for option sas not known
% 0.13/0.29  TRYING [3]
% 0.13/0.30  % (8747)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.30  % (8749)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.30  % (8751)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)
% 0.13/0.30  % (8748)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)
% 0.13/0.30  % (8750)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)
% 0.13/0.30  % (8752)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)
% 0.13/0.30  TRYING [1]
% 0.13/0.30  TRYING [2]
% 0.13/0.30  TRYING [4]
% 0.13/0.30  TRYING [3]
% 0.13/0.30  TRYING [4]
% 0.13/0.31  TRYING [5]
% 0.13/0.32  TRYING [5]
% 0.13/0.38  TRYING [6]
% 0.13/0.48  TRYING [6]
% 2.46/0.71  TRYING [7]
% 3.12/0.77  TRYING [7]
% 4.56/0.93  % (8752)First to succeed.
% 4.56/0.93  % (8752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8745"
% 4.56/0.93  % (8752)Refutation found. Thanks to Tanya!
% 4.56/0.93  % SZS status Unsatisfiable for theBenchmark
% 4.56/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 4.56/0.93  % (8752)------------------------------
% 4.56/0.93  % (8752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.56/0.93  % (8752)Termination reason: Refutation
% 4.56/0.93  
% 4.56/0.93  % (8752)Memory used [KB]: 7052
% 4.56/0.93  % (8752)Time elapsed: 0.632 s
% 4.56/0.93  % (8752)Instructions burned: 1255 (million)
% 4.56/0.93  % (8745)Success in time 0.637 s
%------------------------------------------------------------------------------