TSTP Solution File: GRP448-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP448-1 : 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 : 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 : Sun May  5 05:48:22 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  32 unt;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f259,plain,
    $false,
    inference(subsumption_resolution,[],[f258,f9]) ).

fof(f9,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f4,f8,f7,f6,f5]) ).

fof(f5,plain,
    inverse(a1) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f6,plain,
    multiply(sF0,a1) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f7,plain,
    inverse(b1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f8,plain,
    multiply(sF2,b1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f4,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/tmp/tmp.QUY4XVgLGb/Vampire---4.8_5740',prove_these_axioms_1) ).

fof(f258,plain,
    sF1 = sF3,
    inference(forward_demodulation,[],[f241,f256]) ).

fof(f256,plain,
    ! [X0] : sF1 = inverse(multiply(inverse(X0),X0)),
    inference(forward_demodulation,[],[f239,f42]) ).

fof(f42,plain,
    ! [X0] : inverse(X0) = divide(sF3,X0),
    inference(superposition,[],[f3,f40]) ).

fof(f40,plain,
    sF3 = divide(sF2,sF2),
    inference(superposition,[],[f15,f8]) ).

fof(f15,plain,
    ! [X0] : multiply(X0,b1) = divide(X0,sF2),
    inference(superposition,[],[f10,f7]) ).

fof(f10,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.QUY4XVgLGb/Vampire---4.8_5740',multiply) ).

fof(f3,axiom,
    ! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
    file('/export/starexec/sandbox2/tmp/tmp.QUY4XVgLGb/Vampire---4.8_5740',inverse) ).

fof(f239,plain,
    ! [X0] : sF1 = inverse(multiply(divide(sF3,X0),X0)),
    inference(superposition,[],[f34,f166]) ).

fof(f166,plain,
    sF3 = inverse(sF1),
    inference(forward_demodulation,[],[f157,f79]) ).

fof(f79,plain,
    ! [X0,X1] : sF3 = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
    inference(superposition,[],[f12,f53]) ).

fof(f53,plain,
    ! [X0] : inverse(X0) = divide(inverse(sF3),X0),
    inference(superposition,[],[f13,f40]) ).

fof(f13,plain,
    ! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
    inference(superposition,[],[f3,f3]) ).

fof(f12,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f11,f3]) ).

fof(f11,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2))) = X1,
    inference(forward_demodulation,[],[f1,f3]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.QUY4XVgLGb/Vampire---4.8_5740',single_axiom) ).

fof(f157,plain,
    ! [X0,X1] : inverse(sF1) = divide(X1,divide(inverse(X0),divide(inverse(X1),X0))),
    inference(superposition,[],[f12,f52]) ).

fof(f52,plain,
    ! [X0] : inverse(X0) = divide(inverse(inverse(sF1)),X0),
    inference(superposition,[],[f13,f39]) ).

fof(f39,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f37]) ).

fof(f37,plain,
    sF1 = divide(sF0,sF0),
    inference(superposition,[],[f14,f6]) ).

fof(f14,plain,
    ! [X0] : multiply(X0,a1) = divide(X0,sF0),
    inference(superposition,[],[f10,f5]) ).

fof(f34,plain,
    ! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
    inference(forward_demodulation,[],[f33,f10]) ).

fof(f33,plain,
    ! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
    inference(forward_demodulation,[],[f28,f13]) ).

fof(f28,plain,
    ! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
    inference(superposition,[],[f12,f3]) ).

fof(f241,plain,
    ! [X0] : sF3 = inverse(multiply(inverse(X0),X0)),
    inference(superposition,[],[f34,f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : GRP448-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.12  % 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
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 20:40:38 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.33  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.QUY4XVgLGb/Vampire---4.8_5740
% 0.61/0.81  % (5855)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 (2995ds/34Mi)
% 0.61/0.81  % (5857)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (5859)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 (2995ds/34Mi)
% 0.61/0.81  % (5858)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (5856)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 (2995ds/51Mi)
% 0.61/0.81  % (5860)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (5861)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 (2995ds/83Mi)
% 0.61/0.81  % (5862)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 (2995ds/56Mi)
% 0.61/0.81  % (5859)Refutation not found, incomplete strategy% (5859)------------------------------
% 0.61/0.81  % (5859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5859)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5859)Memory used [KB]: 962
% 0.61/0.81  % (5858)Refutation not found, incomplete strategy% (5858)------------------------------
% 0.61/0.81  % (5858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5859)Time elapsed: 0.002 s
% 0.61/0.81  % (5859)Instructions burned: 2 (million)
% 0.61/0.81  % (5858)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  % (5855)Refutation not found, incomplete strategy% (5855)------------------------------
% 0.61/0.81  % (5855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  
% 0.61/0.81  % (5858)Memory used [KB]: 958
% 0.61/0.81  % (5858)Time elapsed: 0.002 s
% 0.61/0.81  % (5858)Instructions burned: 2 (million)
% 0.61/0.81  % (5855)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5862)Refutation not found, incomplete strategy% (5862)------------------------------
% 0.61/0.81  % (5862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5855)Memory used [KB]: 963
% 0.61/0.81  % (5855)Time elapsed: 0.003 s
% 0.61/0.81  % (5855)Instructions burned: 2 (million)
% 0.61/0.81  % (5862)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5862)Memory used [KB]: 948
% 0.61/0.81  % (5862)Time elapsed: 0.002 s
% 0.61/0.81  % (5861)Refutation not found, incomplete strategy% (5861)------------------------------
% 0.61/0.81  % (5861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5861)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5861)Memory used [KB]: 950
% 0.61/0.81  % (5861)Time elapsed: 0.002 s
% 0.61/0.81  % (5861)Instructions burned: 2 (million)
% 0.61/0.81  % (5862)Instructions burned: 2 (million)
% 0.61/0.81  % (5859)------------------------------
% 0.61/0.81  % (5859)------------------------------
% 0.61/0.81  % (5858)------------------------------
% 0.61/0.81  % (5858)------------------------------
% 0.61/0.81  % (5855)------------------------------
% 0.61/0.81  % (5855)------------------------------
% 0.61/0.81  % (5861)------------------------------
% 0.61/0.81  % (5861)------------------------------
% 0.61/0.81  % (5862)------------------------------
% 0.61/0.81  % (5862)------------------------------
% 0.61/0.81  % (5863)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 (2995ds/55Mi)
% 0.61/0.81  % (5865)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 (2995ds/208Mi)
% 0.61/0.81  % (5864)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 (2995ds/50Mi)
% 0.61/0.81  % (5866)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 (2995ds/52Mi)
% 0.61/0.81  % (5867)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 (2995ds/518Mi)
% 0.61/0.81  % (5864)Refutation not found, incomplete strategy% (5864)------------------------------
% 0.61/0.81  % (5864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5864)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5864)Memory used [KB]: 947
% 0.61/0.81  % (5864)Time elapsed: 0.002 s
% 0.61/0.81  % (5864)Instructions burned: 2 (million)
% 0.61/0.81  % (5864)------------------------------
% 0.61/0.81  % (5864)------------------------------
% 0.61/0.81  % (5860)Refutation not found, incomplete strategy% (5860)------------------------------
% 0.61/0.81  % (5860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5860)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5860)Memory used [KB]: 1033
% 0.61/0.81  % (5860)Time elapsed: 0.007 s
% 0.61/0.81  % (5860)Instructions burned: 14 (million)
% 0.61/0.81  % (5867)Refutation not found, incomplete strategy% (5867)------------------------------
% 0.61/0.81  % (5867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (5867)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (5867)Memory used [KB]: 954
% 0.61/0.81  % (5860)------------------------------
% 0.61/0.81  % (5860)------------------------------
% 0.61/0.81  % (5867)Time elapsed: 0.003 s
% 0.61/0.81  % (5867)Instructions burned: 3 (million)
% 0.61/0.81  % (5867)------------------------------
% 0.61/0.81  % (5867)------------------------------
% 0.61/0.82  % (5869)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 (2995ds/42Mi)
% 0.61/0.82  % (5870)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 (2995ds/243Mi)
% 0.61/0.82  % (5869)Refutation not found, incomplete strategy% (5869)------------------------------
% 0.61/0.82  % (5869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (5869)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (5869)Memory used [KB]: 948
% 0.61/0.82  % (5869)Time elapsed: 0.002 s
% 0.61/0.82  % (5869)Instructions burned: 2 (million)
% 0.61/0.82  % (5871)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 (2995ds/117Mi)
% 0.61/0.82  % (5869)------------------------------
% 0.61/0.82  % (5869)------------------------------
% 0.61/0.82  % (5871)Refutation not found, incomplete strategy% (5871)------------------------------
% 0.61/0.82  % (5871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (5871)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (5871)Memory used [KB]: 948
% 0.61/0.82  % (5871)Time elapsed: 0.002 s
% 0.61/0.82  % (5871)Instructions burned: 2 (million)
% 0.61/0.82  % (5865)First to succeed.
% 0.61/0.82  % (5871)------------------------------
% 0.61/0.82  % (5871)------------------------------
% 0.61/0.82  % (5865)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5853"
% 0.61/0.82  % (5865)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (5865)------------------------------
% 0.61/0.82  % (5865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (5865)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (5865)Memory used [KB]: 1062
% 0.61/0.82  % (5865)Time elapsed: 0.008 s
% 0.61/0.82  % (5865)Instructions burned: 13 (million)
% 0.61/0.82  % (5853)Success in time 0.485 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------