TSTP Solution File: COL070-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL070-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Mon May 20 19:06:19 EDT 2024

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   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   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1092,plain,
    $false,
    inference(equality_resolution,[],[f1010]) ).

fof(f1010,plain,
    ! [X0,X1] : apply(apply(X0,X0),X1) != apply(apply(apply(n1,apply(b,apply(b,combinator))),X0),X1),
    inference(superposition,[],[f3,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] : apply(apply(apply(n1,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X1,X1),X2)),
    inference(superposition,[],[f8,f2]) ).

fof(f2,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,
    ! [X2,X0,X1] : apply(apply(apply(n1,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X1,X1)),X2),
    inference(superposition,[],[f1,f2]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(n1,X0),X1),X2) = apply(apply(apply(X0,X1),X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1_definition) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COL070-1 : TPTP v8.2.0. Released v1.2.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 13:17:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (23178)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (23181)WARNING: value z3 for option sas not known
% 0.15/0.38  % (23179)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (23184)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  % (23181)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  % (23183)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  % (23180)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  % (23182)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (23185)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  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [3]
% 0.22/0.38  TRYING [3]
% 0.22/0.38  TRYING [4]
% 0.22/0.39  TRYING [4]
% 0.22/0.42  TRYING [5]
% 0.22/0.43  TRYING [5]
% 0.22/0.44  % (23181)First to succeed.
% 0.22/0.44  % (23181)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23178"
% 0.22/0.44  % (23181)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44  % (23181)------------------------------
% 0.22/0.44  % (23181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44  % (23181)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (23181)Memory used [KB]: 1633
% 0.22/0.44  % (23181)Time elapsed: 0.062 s
% 0.22/0.44  % (23181)Instructions burned: 119 (million)
% 0.22/0.44  % (23178)Success in time 0.069 s
%------------------------------------------------------------------------------