TSTP Solution File: GRP557-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP557-1 : 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 : n021.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 01:25:51 EDT 2023

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 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   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f101,plain,
    $false,
    inference(subsumption_resolution,[],[f79,f51]) ).

fof(f51,plain,
    ! [X10,X9] : divide(X10,X10) = inverse(divide(X9,X9)),
    inference(superposition,[],[f27,f12]) ).

fof(f12,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
    inference(superposition,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.se19LQJItm/Vampire---4.8_28460',single_axiom) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f27,plain,
    ! [X8,X7] : divide(inverse(divide(X8,X8)),inverse(X7)) = X7,
    inference(superposition,[],[f16,f12]) ).

fof(f16,plain,
    ! [X2,X3] : divide(X2,inverse(divide(X3,X2))) = X3,
    inference(superposition,[],[f6,f12]) ).

fof(f79,plain,
    ! [X0] : divide(inverse(a1),inverse(a1)) != inverse(divide(X0,X0)),
    inference(superposition,[],[f5,f51]) ).

fof(f5,plain,
    divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
    inference(superposition,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.se19LQJItm/Vampire---4.8_28460',multiply) ).

fof(f4,plain,
    multiply(inverse(b1),b1) != divide(inverse(a1),inverse(a1)),
    inference(forward_demodulation,[],[f3,f2]) ).

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/tmp/tmp.se19LQJItm/Vampire---4.8_28460',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP557-1 : 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
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 23:46:43 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.20/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.se19LQJItm/Vampire---4.8_28460
% 0.20/0.36  % (28584)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (28591)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)
% 0.20/0.42  % (28589)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.20/0.42  % (28592)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)
% 0.20/0.42  % (28596)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.20/0.42  % (28593)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)
% 0.20/0.42  % (28587)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.20/0.42  % (28585)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)
% 0.20/0.42  % (28591)First to succeed.
% 0.20/0.42  % (28589)Also succeeded, but the first one will report.
% 0.20/0.43  % (28591)Refutation found. Thanks to Tanya!
% 0.20/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.20/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43  % (28591)------------------------------
% 0.20/0.43  % (28591)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43  % (28591)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43  % (28591)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (28591)Memory used [KB]: 1023
% 0.20/0.43  % (28591)Time elapsed: 0.006 s
% 0.20/0.43  % (28591)------------------------------
% 0.20/0.43  % (28591)------------------------------
% 0.20/0.43  % (28584)Success in time 0.066 s
% 0.20/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------