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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 : n019.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 : Fri Sep  1 15:55:53 EDT 2023

% Result   : Unsatisfiable 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 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   :   59 (;  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f966,plain,
    $false,
    inference(equality_resolution,[],[f957]) ).

fof(f957,plain,
    ! [X1] : divide(X1,X1) != divide(a1,a1),
    inference(superposition,[],[f939,f395]) ).

fof(f395,plain,
    ! [X22,X23] : divide(X23,X23) = divide(X22,X22),
    inference(superposition,[],[f235,f234]) ).

fof(f234,plain,
    ! [X10,X11] : divide(X10,divide(X11,X11)) = X10,
    inference(superposition,[],[f223,f46]) ).

fof(f46,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[],[f19,f8]) ).

fof(f8,plain,
    ! [X3,X4,X5] : multiply(X3,divide(divide(X4,X5),divide(X3,X5))) = X4,
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.pWQkMRbaay/Vampire---4.8_9730',multiply) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.pWQkMRbaay/Vampire---4.8_9730',single_axiom) ).

fof(f19,plain,
    ! [X3,X6,X4,X5] : multiply(X6,divide(X4,multiply(X6,divide(divide(X4,X5),divide(X3,X5))))) = X3,
    inference(forward_demodulation,[],[f15,f2]) ).

fof(f15,plain,
    ! [X3,X6,X4,X5] : multiply(X6,divide(X4,divide(X6,inverse(divide(divide(X4,X5),divide(X3,X5)))))) = X3,
    inference(superposition,[],[f8,f1]) ).

fof(f223,plain,
    ! [X8,X9] : divide(multiply(X8,X9),X9) = X8,
    inference(forward_demodulation,[],[f201,f132]) ).

fof(f132,plain,
    ! [X36,X37] : multiply(inverse(divide(X37,X37)),X36) = X36,
    inference(superposition,[],[f58,f93]) ).

fof(f93,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
    inference(superposition,[],[f11,f8]) ).

fof(f11,plain,
    ! [X3,X6,X4,X5] : divide(X6,inverse(divide(X4,multiply(X6,divide(divide(X4,X5),divide(X3,X5)))))) = X3,
    inference(forward_demodulation,[],[f5,f2]) ).

fof(f5,plain,
    ! [X3,X6,X4,X5] : divide(X6,inverse(divide(X4,divide(X6,inverse(divide(divide(X4,X5),divide(X3,X5))))))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f58,plain,
    ! [X2,X3] : multiply(X2,divide(X3,X2)) = X3,
    inference(superposition,[],[f19,f46]) ).

fof(f201,plain,
    ! [X8,X9,X7] : divide(multiply(X8,X9),multiply(inverse(divide(X7,X7)),X9)) = X8,
    inference(superposition,[],[f132,f18]) ).

fof(f18,plain,
    ! [X2,X0,X1] : multiply(X2,divide(multiply(X0,X1),multiply(X2,X1))) = X0,
    inference(forward_demodulation,[],[f14,f2]) ).

fof(f14,plain,
    ! [X2,X0,X1] : multiply(X2,divide(multiply(X0,X1),divide(X2,inverse(X1)))) = X0,
    inference(superposition,[],[f8,f2]) ).

fof(f235,plain,
    ! [X12,X13] : divide(X13,divide(X13,X12)) = X12,
    inference(superposition,[],[f223,f58]) ).

fof(f939,plain,
    divide(a1,a1) != divide(b1,b1),
    inference(superposition,[],[f280,f265]) ).

fof(f265,plain,
    ! [X2,X3] : divide(X2,X3) = multiply(inverse(X3),X2),
    inference(superposition,[],[f67,f255]) ).

fof(f255,plain,
    ! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
    inference(backward_demodulation,[],[f70,f235]) ).

fof(f70,plain,
    ! [X2,X0,X1] : multiply(divide(X0,X1),divide(X2,divide(X2,X1))) = X0,
    inference(superposition,[],[f19,f58]) ).

fof(f67,plain,
    ! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
    inference(superposition,[],[f58,f2]) ).

fof(f280,plain,
    multiply(inverse(b1),b1) != divide(a1,a1),
    inference(backward_demodulation,[],[f3,f265]) ).

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/tmp/tmp.pWQkMRbaay/Vampire---4.8_9730',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 17:28:57 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.42  % (9979)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (10060)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43  % (10053)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43  % (10056)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43  % (10055)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.43  % (10058)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.43  % (10061)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43  % (10054)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [4]
% 0.22/0.45  TRYING [4]
% 0.22/0.45  % (10060)First to succeed.
% 0.22/0.45  TRYING [5]
% 0.22/0.45  % (10061)Also succeeded, but the first one will report.
% 0.22/0.46  % (10060)Refutation found. Thanks to Tanya!
% 0.22/0.46  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.46  % (10060)------------------------------
% 0.22/0.46  % (10060)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46  % (10060)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46  % (10060)Termination reason: Refutation
% 0.22/0.46  
% 0.22/0.46  % (10060)Memory used [KB]: 1791
% 0.22/0.46  % (10060)Time elapsed: 0.028 s
% 0.22/0.46  % (10060)------------------------------
% 0.22/0.46  % (10060)------------------------------
% 0.22/0.46  % (9979)Success in time 0.087 s
% 0.22/0.46  10055 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.pWQkMRbaay/Vampire---4.8_9730
% 0.22/0.46  % (10055)------------------------------
% 0.22/0.46  % (10055)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46  % (10055)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46  % (10055)Termination reason: Unknown
% 0.22/0.46  % (10055)Termination phase: Saturation
% 0.22/0.46  
% 0.22/0.46  % (10055)Memory used [KB]: 5245
% 0.22/0.46  % (10055)Time elapsed: 0.031 s
% 0.22/0.46  % (10055)------------------------------
% 0.22/0.46  % (10055)------------------------------
% 0.22/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------