TSTP Solution File: GRP456-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP456-1 : 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/sandbox/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 05:48:23 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  34 unt;   0 def)
%            Number of atoms       :   34 (  29 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  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   63 (  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f714,plain,
    $false,
    inference(subsumption_resolution,[],[f713,f79]) ).

fof(f79,plain,
    sP0(divide(a3,divide(divide(identity,c3),b3))),
    inference(backward_demodulation,[],[f8,f69]) ).

fof(f69,plain,
    ! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
    inference(forward_demodulation,[],[f68,f49]) ).

fof(f49,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(backward_demodulation,[],[f15,f45]) ).

fof(f45,plain,
    ! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
    inference(forward_demodulation,[],[f36,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.4RGth2ffUa/Vampire---4.8_29038',identity) ).

fof(f36,plain,
    ! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
    inference(superposition,[],[f12,f4]) ).

fof(f12,plain,
    ! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
    inference(superposition,[],[f9,f4]) ).

fof(f9,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
    inference(backward_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.4RGth2ffUa/Vampire---4.8_29038',single_axiom) ).

fof(f15,plain,
    ! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f10,plain,
    ! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
    inference(superposition,[],[f9,f4]) ).

fof(f68,plain,
    ! [X0,X1] : divide(identity,divide(X0,divide(X1,identity))) = divide(X1,X0),
    inference(forward_demodulation,[],[f42,f52]) ).

fof(f52,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(backward_demodulation,[],[f45,f49]) ).

fof(f42,plain,
    ! [X0,X1] : divide(identity,divide(X0,divide(X1,identity))) = divide(divide(identity,divide(identity,X1)),X0),
    inference(superposition,[],[f10,f12]) ).

fof(f8,plain,
    sP0(divide(a3,divide(identity,divide(b3,divide(identity,c3))))),
    inference(inequality_splitting,[],[f6,f7]) ).

fof(f7,plain,
    ~ sP0(divide(divide(a3,divide(identity,b3)),divide(identity,c3))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

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/sandbox/tmp/tmp.4RGth2ffUa/Vampire---4.8_29038',multiply) ).

fof(f5,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/tmp/tmp.4RGth2ffUa/Vampire---4.8_29038',prove_these_axioms_3) ).

fof(f713,plain,
    ~ sP0(divide(a3,divide(divide(identity,c3),b3))),
    inference(backward_demodulation,[],[f7,f673]) ).

fof(f673,plain,
    ! [X2,X0,X1] : divide(divide(X0,divide(identity,X1)),X2) = divide(X0,divide(X2,X1)),
    inference(superposition,[],[f499,f57]) ).

fof(f57,plain,
    ! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
    inference(backward_demodulation,[],[f10,f52]) ).

fof(f499,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
    inference(forward_demodulation,[],[f498,f49]) ).

fof(f498,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,X2),identity),
    inference(forward_demodulation,[],[f497,f376]) ).

fof(f376,plain,
    ! [X2,X0,X1] : divide(X0,divide(X1,divide(identity,X2))) = divide(divide(X0,X2),X1),
    inference(superposition,[],[f73,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] : divide(divide(X2,divide(X1,X0)),divide(X0,X1)) = X2,
    inference(superposition,[],[f57,f69]) ).

fof(f73,plain,
    ! [X2,X0,X1] : divide(divide(divide(X1,divide(divide(identity,X0),X2)),X0),X2) = X1,
    inference(backward_demodulation,[],[f9,f69]) ).

fof(f497,plain,
    ! [X2,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,divide(identity,divide(identity,X2))),
    inference(forward_demodulation,[],[f451,f446]) ).

fof(f446,plain,
    ! [X2,X0,X1] : divide(X0,divide(identity,X1)) = divide(divide(X0,divide(X2,X1)),divide(identity,X2)),
    inference(superposition,[],[f78,f57]) ).

fof(f78,plain,
    ! [X2,X0,X1] : divide(divide(divide(X2,X1),divide(X0,X1)),divide(identity,X0)) = X2,
    inference(backward_demodulation,[],[f67,f69]) ).

fof(f67,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(divide(X0,X1),divide(X2,X1))),divide(identity,X0)) = X2,
    inference(forward_demodulation,[],[f41,f49]) ).

fof(f41,plain,
    ! [X2,X0,X1] : divide(divide(identity,divide(divide(X0,divide(X1,identity)),divide(X2,X1))),divide(identity,X0)) = X2,
    inference(superposition,[],[f9,f12]) ).

fof(f451,plain,
    ! [X2,X3,X0,X1] : divide(divide(X0,X1),divide(X2,X1)) = divide(divide(X0,divide(X3,divide(identity,X2))),divide(identity,X3)),
    inference(superposition,[],[f78,f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP456-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:47:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.4RGth2ffUa/Vampire---4.8_29038
% 0.57/0.73  % (29153)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)
% 0.57/0.73  % (29153)Refutation not found, incomplete strategy% (29153)------------------------------
% 0.57/0.73  % (29153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29153)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (29153)Memory used [KB]: 949
% 0.57/0.73  % (29153)Time elapsed: 0.001 s
% 0.57/0.73  % (29153)Instructions burned: 2 (million)
% 0.57/0.73  % (29153)------------------------------
% 0.57/0.73  % (29153)------------------------------
% 0.57/0.73  % (29146)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)
% 0.57/0.73  % (29148)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (29147)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)
% 0.57/0.73  % (29150)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)
% 0.57/0.73  % (29151)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)
% 0.57/0.73  % (29149)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)
% 0.57/0.73  % (29152)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)
% 0.57/0.74  % (29150)Refutation not found, incomplete strategy% (29150)------------------------------
% 0.57/0.74  % (29150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29146)Refutation not found, incomplete strategy% (29146)------------------------------
% 0.57/0.74  % (29146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29146)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29146)Memory used [KB]: 964
% 0.57/0.74  % (29146)Time elapsed: 0.002 s
% 0.57/0.74  % (29146)Instructions burned: 2 (million)
% 0.57/0.74  % (29149)Refutation not found, incomplete strategy% (29149)------------------------------
% 0.57/0.74  % (29149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29149)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29149)Memory used [KB]: 949
% 0.57/0.74  % (29149)Time elapsed: 0.002 s
% 0.57/0.74  % (29149)Instructions burned: 2 (million)
% 0.57/0.74  % (29150)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29150)Memory used [KB]: 962
% 0.57/0.74  % (29150)Time elapsed: 0.002 s
% 0.57/0.74  % (29150)Instructions burned: 2 (million)
% 0.57/0.74  % (29151)Refutation not found, incomplete strategy% (29151)------------------------------
% 0.57/0.74  % (29151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29152)Refutation not found, incomplete strategy% (29152)------------------------------
% 0.57/0.74  % (29152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29152)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29152)Memory used [KB]: 951
% 0.57/0.74  % (29146)------------------------------
% 0.57/0.74  % (29146)------------------------------
% 0.57/0.74  % (29152)Time elapsed: 0.002 s
% 0.57/0.74  % (29152)Instructions burned: 2 (million)
% 0.57/0.74  % (29149)------------------------------
% 0.57/0.74  % (29149)------------------------------
% 0.57/0.74  % (29151)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29151)Memory used [KB]: 952
% 0.57/0.74  % (29151)Time elapsed: 0.003 s
% 0.57/0.74  % (29151)Instructions burned: 2 (million)
% 0.57/0.74  % (29150)------------------------------
% 0.57/0.74  % (29150)------------------------------
% 0.57/0.74  % (29152)------------------------------
% 0.57/0.74  % (29152)------------------------------
% 0.57/0.74  % (29151)------------------------------
% 0.57/0.74  % (29151)------------------------------
% 0.57/0.74  % (29154)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)
% 0.57/0.74  % (29155)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)
% 0.57/0.74  % (29156)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)
% 0.57/0.74  % (29157)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)
% 0.57/0.74  % (29158)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)
% 0.57/0.74  % (29159)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)
% 0.57/0.74  % (29155)Refutation not found, incomplete strategy% (29155)------------------------------
% 0.57/0.74  % (29155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29155)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29155)Memory used [KB]: 949
% 0.57/0.74  % (29155)Time elapsed: 0.002 s
% 0.57/0.74  % (29155)Instructions burned: 2 (million)
% 0.57/0.74  % (29155)------------------------------
% 0.57/0.74  % (29155)------------------------------
% 0.57/0.74  % (29159)Refutation not found, incomplete strategy% (29159)------------------------------
% 0.57/0.74  % (29159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29159)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29159)Memory used [KB]: 949
% 0.57/0.74  % (29158)Refutation not found, incomplete strategy% (29158)------------------------------
% 0.57/0.74  % (29158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (29158)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (29158)Memory used [KB]: 952
% 0.57/0.74  % (29158)Time elapsed: 0.003 s
% 0.57/0.74  % (29158)Instructions burned: 2 (million)
% 0.57/0.74  % (29159)Time elapsed: 0.002 s
% 0.57/0.74  % (29159)Instructions burned: 2 (million)
% 0.57/0.74  % (29158)------------------------------
% 0.57/0.74  % (29158)------------------------------
% 0.57/0.74  % (29159)------------------------------
% 0.57/0.74  % (29159)------------------------------
% 0.57/0.75  % (29160)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.75  % (29161)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.75  % (29162)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.75  % (29161)Refutation not found, incomplete strategy% (29161)------------------------------
% 0.57/0.75  % (29161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (29161)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (29161)Memory used [KB]: 950
% 0.57/0.75  % (29161)Time elapsed: 0.003 s
% 0.57/0.75  % (29161)Instructions burned: 2 (million)
% 0.57/0.75  % (29161)------------------------------
% 0.57/0.75  % (29161)------------------------------
% 0.57/0.75  % (29162)Refutation not found, incomplete strategy% (29162)------------------------------
% 0.57/0.75  % (29162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (29162)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (29162)Memory used [KB]: 965
% 0.57/0.75  % (29162)Time elapsed: 0.003 s
% 0.57/0.75  % (29162)Instructions burned: 2 (million)
% 0.57/0.75  % (29162)------------------------------
% 0.57/0.75  % (29162)------------------------------
% 0.57/0.75  % (29154)First to succeed.
% 0.57/0.75  % (29154)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29145"
% 0.57/0.75  % (29154)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (29154)------------------------------
% 0.57/0.75  % (29154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (29154)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (29154)Memory used [KB]: 1247
% 0.57/0.75  % (29154)Time elapsed: 0.012 s
% 0.57/0.75  % (29154)Instructions burned: 35 (million)
% 0.57/0.75  % (29145)Success in time 0.384 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------