TSTP Solution File: GRP547-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP547-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 : Sun May  5 05:49:03 EDT 2024

% Result   : Unsatisfiable 0.47s 0.69s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f143,plain,
    $false,
    inference(trivial_inequality_removal,[],[f142]) ).

fof(f142,plain,
    divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,b3),c3)),
    inference(backward_demodulation,[],[f108,f138]) ).

fof(f138,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
    inference(superposition,[],[f27,f88]) ).

fof(f88,plain,
    ! [X2,X0,X1] : divide(divide(X1,X0),divide(divide(X1,X2),X0)) = X2,
    inference(backward_demodulation,[],[f1,f87]) ).

fof(f87,plain,
    ! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
    inference(forward_demodulation,[],[f76,f14]) ).

fof(f14,plain,
    ! [X1] : divide(X1,identity) = X1,
    inference(forward_demodulation,[],[f12,f13]) ).

fof(f13,plain,
    ! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
    inference(forward_demodulation,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.kpxl3ZSfBv/Vampire---4.8_16043',identity) ).

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

fof(f12,plain,
    ! [X0,X1] : divide(divide(identity,divide(divide(X0,X1),X0)),identity) = X1,
    inference(superposition,[],[f1,f4]) ).

fof(f76,plain,
    ! [X0,X1] : divide(X1,X0) = divide(identity,divide(divide(X0,identity),X1)),
    inference(superposition,[],[f15,f14]) ).

fof(f15,plain,
    ! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(X1,X2),X0)),X2),
    inference(backward_demodulation,[],[f11,f14]) ).

fof(f11,plain,
    ! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(divide(X1,X2),X0),identity)),X2),
    inference(superposition,[],[f1,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.kpxl3ZSfBv/Vampire---4.8_16043',single_axiom) ).

fof(f27,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(backward_demodulation,[],[f18,f19]) ).

fof(f19,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(superposition,[],[f13,f4]) ).

fof(f18,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
    inference(superposition,[],[f1,f14]) ).

fof(f108,plain,
    divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,b3),c3)),
    inference(forward_demodulation,[],[f101,f106]) ).

fof(f106,plain,
    ! [X2,X0,X1] : divide(X2,divide(X1,X0)) = divide(divide(X2,X1),divide(identity,X0)),
    inference(forward_demodulation,[],[f96,f87]) ).

fof(f96,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(X1,X2)),divide(identity,X0)) = divide(X2,divide(X1,X0)),
    inference(backward_demodulation,[],[f68,f87]) ).

fof(f68,plain,
    ! [X2,X0,X1] : divide(X2,divide(identity,divide(X0,X1))) = divide(divide(identity,divide(X1,X2)),divide(identity,X0)),
    inference(superposition,[],[f15,f9]) ).

fof(f9,plain,
    ! [X0,X1] : divide(divide(identity,divide(X1,X0)),divide(identity,X1)) = X0,
    inference(superposition,[],[f1,f4]) ).

fof(f101,plain,
    divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,c3),b3)),
    inference(backward_demodulation,[],[f6,f87]) ).

fof(f6,plain,
    divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
    inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.kpxl3ZSfBv/Vampire---4.8_16043',multiply) ).

fof(f5,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/tmp/tmp.kpxl3ZSfBv/Vampire---4.8_16043',prove_these_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP547-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:42:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.kpxl3ZSfBv/Vampire---4.8_16043
% 0.47/0.68  % (16152)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.47/0.68  % (16154)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.68  % (16155)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.47/0.68  % (16156)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.47/0.68  % (16153)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.47/0.68  % (16158)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.47/0.68  % (16157)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.47/0.68  % (16159)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.47/0.68  % (16152)Refutation not found, incomplete strategy% (16152)------------------------------
% 0.47/0.68  % (16152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16152)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16152)Memory used [KB]: 964
% 0.47/0.68  % (16152)Time elapsed: 0.002 s
% 0.47/0.68  % (16152)Instructions burned: 2 (million)
% 0.47/0.68  % (16155)Refutation not found, incomplete strategy% (16155)------------------------------
% 0.47/0.68  % (16155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16155)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16155)Memory used [KB]: 949
% 0.47/0.68  % (16155)Time elapsed: 0.002 s
% 0.47/0.68  % (16155)Instructions burned: 2 (million)
% 0.47/0.68  % (16156)Refutation not found, incomplete strategy% (16156)------------------------------
% 0.47/0.68  % (16156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16152)------------------------------
% 0.47/0.68  % (16152)------------------------------
% 0.47/0.68  % (16156)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16156)Memory used [KB]: 963
% 0.47/0.68  % (16156)Time elapsed: 0.002 s
% 0.47/0.68  % (16156)Instructions burned: 2 (million)
% 0.47/0.68  % (16159)Refutation not found, incomplete strategy% (16159)------------------------------
% 0.47/0.68  % (16159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16159)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  % (16155)------------------------------
% 0.47/0.68  % (16155)------------------------------
% 0.47/0.68  
% 0.47/0.68  % (16159)Memory used [KB]: 949
% 0.47/0.68  % (16159)Time elapsed: 0.002 s
% 0.47/0.68  % (16159)Instructions burned: 2 (million)
% 0.47/0.68  % (16158)Refutation not found, incomplete strategy% (16158)------------------------------
% 0.47/0.68  % (16158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16158)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16158)Memory used [KB]: 951
% 0.47/0.68  % (16158)Time elapsed: 0.002 s
% 0.47/0.68  % (16158)Instructions burned: 2 (million)
% 0.47/0.68  % (16156)------------------------------
% 0.47/0.68  % (16156)------------------------------
% 0.47/0.68  % (16157)Refutation not found, incomplete strategy% (16157)------------------------------
% 0.47/0.68  % (16157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16157)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16157)Memory used [KB]: 952
% 0.47/0.68  % (16157)Time elapsed: 0.003 s
% 0.47/0.68  % (16157)Instructions burned: 2 (million)
% 0.47/0.68  % (16158)------------------------------
% 0.47/0.68  % (16158)------------------------------
% 0.47/0.68  % (16159)------------------------------
% 0.47/0.68  % (16159)------------------------------
% 0.47/0.68  % (16157)------------------------------
% 0.47/0.68  % (16157)------------------------------
% 0.47/0.68  % (16162)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.47/0.68  % (16160)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.47/0.68  % (16161)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.47/0.68  % (16163)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.47/0.68  % (16164)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.47/0.68  % (16165)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.47/0.68  % (16161)Refutation not found, incomplete strategy% (16161)------------------------------
% 0.47/0.68  % (16161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16161)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16161)Memory used [KB]: 949
% 0.47/0.68  % (16161)Time elapsed: 0.002 s
% 0.47/0.68  % (16161)Instructions burned: 2 (million)
% 0.47/0.68  % (16161)------------------------------
% 0.47/0.68  % (16161)------------------------------
% 0.47/0.68  % (16165)Refutation not found, incomplete strategy% (16165)------------------------------
% 0.47/0.68  % (16165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16165)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16165)Memory used [KB]: 949
% 0.47/0.68  % (16165)Time elapsed: 0.002 s
% 0.47/0.68  % (16165)Instructions burned: 2 (million)
% 0.47/0.68  % (16164)Refutation not found, incomplete strategy% (16164)------------------------------
% 0.47/0.68  % (16164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.68  % (16164)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.68  
% 0.47/0.68  % (16164)Memory used [KB]: 952
% 0.47/0.68  % (16164)Time elapsed: 0.002 s
% 0.47/0.68  % (16164)Instructions burned: 2 (million)
% 0.47/0.69  % (16165)------------------------------
% 0.47/0.69  % (16165)------------------------------
% 0.47/0.69  % (16154)First to succeed.
% 0.47/0.69  % (16164)------------------------------
% 0.47/0.69  % (16164)------------------------------
% 0.47/0.69  % (16154)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16151"
% 0.47/0.69  % (16154)Refutation found. Thanks to Tanya!
% 0.47/0.69  % SZS status Unsatisfiable for Vampire---4
% 0.47/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.69  % (16154)------------------------------
% 0.47/0.69  % (16154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.69  % (16154)Termination reason: Refutation
% 0.47/0.69  
% 0.47/0.69  % (16154)Memory used [KB]: 1072
% 0.47/0.69  % (16154)Time elapsed: 0.008 s
% 0.47/0.69  % (16154)Instructions burned: 12 (million)
% 0.47/0.69  % (16151)Success in time 0.337 s
% 0.47/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------