TSTP Solution File: GRP457-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n006.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 : Thu Aug 31 01:24:36 EDT 2023

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   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;   2 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,plain,
    $false,
    inference(trivial_inequality_removal,[],[f7]) ).

fof(f7,plain,
    identity != identity,
    inference(backward_demodulation,[],[f6,f4]) ).

fof(f4,axiom,
    ! [X0] : divide(X0,X0) = identity,
    file('/export/starexec/sandbox/tmp/tmp.9Iw7GqDQic/Vampire---4.8_28693',identity) ).

fof(f6,plain,
    identity != divide(divide(identity,a1),divide(identity,a1)),
    inference(definition_unfolding,[],[f5,f2,f3]) ).

fof(f3,axiom,
    ! [X0] : divide(identity,X0) = inverse(X0),
    file('/export/starexec/sandbox/tmp/tmp.9Iw7GqDQic/Vampire---4.8_28693',inverse) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox/tmp/tmp.9Iw7GqDQic/Vampire---4.8_28693',multiply) ).

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox/tmp/tmp.9Iw7GqDQic/Vampire---4.8_28693',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 28 20:10:36 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.9Iw7GqDQic/Vampire---4.8_28693
% 0.14/0.37  % (28803)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (28809)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.21/0.42  % (28811)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 0.21/0.42  % (28812)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.21/0.42  % (28804)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42  % (28810)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.21/0.42  % (28813)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.21/0.43  % (28809)First to succeed.
% 0.21/0.43  % (28804)Also succeeded, but the first one will report.
% 0.21/0.43  % (28807)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.21/0.43  % (28810)Also succeeded, but the first one will report.
% 0.21/0.43  % (28809)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (28809)------------------------------
% 0.21/0.43  % (28809)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (28809)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (28809)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (28809)Memory used [KB]: 895
% 0.21/0.43  % (28809)Time elapsed: 0.003 s
% 0.21/0.43  % (28809)------------------------------
% 0.21/0.43  % (28809)------------------------------
% 0.21/0.43  % (28803)Success in time 0.061 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------