TSTP Solution File: GRP162-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP162-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Tue Apr 30 11:51:56 EDT 2024

% Result   : Unsatisfiable 0.16s 0.40s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f160,plain,
    $false,
    inference(subsumption_resolution,[],[f154,f18]) ).

fof(f18,axiom,
    c != least_upper_bound(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_transa) ).

fof(f154,plain,
    c = least_upper_bound(a,c),
    inference(superposition,[],[f152,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f152,plain,
    c = least_upper_bound(c,a),
    inference(superposition,[],[f20,f145]) ).

fof(f145,plain,
    a = greatest_lower_bound(a,c),
    inference(forward_demodulation,[],[f136,f22]) ).

fof(f22,plain,
    a = greatest_lower_bound(a,b),
    inference(superposition,[],[f11,f16]) ).

fof(f16,axiom,
    b = least_upper_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_transa_1) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).

fof(f136,plain,
    greatest_lower_bound(a,b) = greatest_lower_bound(a,c),
    inference(superposition,[],[f96,f23]) ).

fof(f23,plain,
    b = greatest_lower_bound(b,c),
    inference(superposition,[],[f11,f17]) ).

fof(f17,axiom,
    c = least_upper_bound(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_transa_2) ).

fof(f96,plain,
    ! [X0] : greatest_lower_bound(a,greatest_lower_bound(b,X0)) = greatest_lower_bound(a,X0),
    inference(superposition,[],[f6,f22]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f20,plain,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP162-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 04:40:20 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  % (22747)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (22750)WARNING: value z3 for option sas not known
% 0.16/0.39  % (22751)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39  % (22749)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39  % (22748)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39  % (22752)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)
% 0.16/0.39  % (22750)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)
% 0.16/0.39  % (22753)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)
% 0.16/0.39  % (22754)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)
% 0.16/0.39  TRYING [1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [3]
% 0.16/0.40  TRYING [1]
% 0.16/0.40  % (22750)First to succeed.
% 0.16/0.40  TRYING [2]
% 0.16/0.40  % (22753)Also succeeded, but the first one will report.
% 0.16/0.40  % (22750)Refutation found. Thanks to Tanya!
% 0.16/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40  % (22750)------------------------------
% 0.16/0.40  % (22750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.40  % (22750)Termination reason: Refutation
% 0.16/0.40  
% 0.16/0.40  % (22750)Memory used [KB]: 862
% 0.16/0.40  % (22750)Time elapsed: 0.009 s
% 0.16/0.40  % (22750)Instructions burned: 10 (million)
% 0.16/0.40  % (22750)------------------------------
% 0.16/0.40  % (22750)------------------------------
% 0.16/0.40  % (22747)Success in time 0.025 s
%------------------------------------------------------------------------------