TSTP Solution File: GRP455-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP455-1 : 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 : n003.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 01:24:35 EDT 2023

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (;  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(trivial_inequality_removal,[],[f72]) ).

fof(f72,plain,
    a2 != a2,
    inference(backward_demodulation,[],[f6,f66]) ).

fof(f66,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f59,f63]) ).

fof(f63,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(backward_demodulation,[],[f28,f59]) ).

fof(f28,plain,
    ! [X0] : divide(identity,divide(identity,divide(divide(X0,identity),identity))) = X0,
    inference(backward_demodulation,[],[f13,f27]) ).

fof(f27,plain,
    ! [X2] : divide(divide(identity,divide(identity,X2)),identity) = divide(identity,divide(identity,divide(X2,identity))),
    inference(forward_demodulation,[],[f22,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.ookWAyzCLr/Vampire---4.8_21367',identity) ).

fof(f22,plain,
    ! [X2] : divide(identity,divide(identity,divide(X2,divide(identity,identity)))) = divide(divide(identity,divide(identity,X2)),identity),
    inference(superposition,[],[f13,f8]) ).

fof(f8,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
    inference(superposition,[],[f7,f4]) ).

fof(f7,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
    inference(forward_demodulation,[],[f1,f4]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
    file('/export/starexec/sandbox/tmp/tmp.ookWAyzCLr/Vampire---4.8_21367',single_axiom) ).

fof(f13,plain,
    ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
    inference(superposition,[],[f8,f4]) ).

fof(f59,plain,
    ! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
    inference(forward_demodulation,[],[f46,f4]) ).

fof(f46,plain,
    ! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f10,plain,
    ! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
    inference(superposition,[],[f7,f4]) ).

fof(f6,plain,
    a2 != divide(identity,divide(identity,a2)),
    inference(definition_unfolding,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox/tmp/tmp.ookWAyzCLr/Vampire---4.8_21367',multiply) ).

fof(f5,axiom,
    a2 != multiply(identity,a2),
    file('/export/starexec/sandbox/tmp/tmp.ookWAyzCLr/Vampire---4.8_21367',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP455-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 20:47:55 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ookWAyzCLr/Vampire---4.8_21367
% 0.14/0.35  % (21474)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (21477)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.21/0.41  % (21479)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)
% 0.21/0.41  % (21480)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)
% 0.21/0.41  % (21475)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)
% 0.21/0.41  % (21476)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.21/0.41  % (21478)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)
% 0.21/0.41  % (21481)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.21/0.41  % (21477)First to succeed.
% 0.21/0.42  % (21480)Also succeeded, but the first one will report.
% 0.21/0.42  % (21478)Also succeeded, but the first one will report.
% 0.21/0.42  % (21477)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42  % (21477)------------------------------
% 0.21/0.42  % (21477)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (21477)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (21477)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (21477)Memory used [KB]: 895
% 0.21/0.42  % (21477)Time elapsed: 0.007 s
% 0.21/0.42  % (21477)------------------------------
% 0.21/0.42  % (21477)------------------------------
% 0.21/0.42  % (21474)Success in time 0.064 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------