TSTP Solution File: GRP605-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP605-1 : 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 : n002.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 : Wed May  1 02:30:20 EDT 2024

% Result   : Unsatisfiable 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  21 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    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f394,plain,
    $false,
    inference(subsumption_resolution,[],[f376,f375]) ).

fof(f375,plain,
    ! [X0] : ~ sP0(inverse(double_divide(X0,inverse(X0)))),
    inference(superposition,[],[f5,f346]) ).

fof(f346,plain,
    ! [X0,X1] : double_divide(X1,inverse(X1)) = double_divide(X0,inverse(X0)),
    inference(superposition,[],[f197,f199]) ).

fof(f199,plain,
    ! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
    inference(backward_demodulation,[],[f117,f193]) ).

fof(f193,plain,
    ! [X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),X0),
    inference(backward_demodulation,[],[f178,f181]) ).

fof(f181,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f151,f128]) ).

fof(f128,plain,
    ! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
    inference(superposition,[],[f117,f77]) ).

fof(f77,plain,
    ! [X2,X1] : double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X2) = X1,
    inference(backward_demodulation,[],[f1,f65]) ).

fof(f65,plain,
    ! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(inverse(X2),inverse(X1)),
    inference(superposition,[],[f43,f1]) ).

fof(f43,plain,
    ! [X2,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X2),X1))) = X2,
    inference(superposition,[],[f7,f1]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.F0Rcczk1Hd/Vampire---4.8_12222',single_axiom) ).

fof(f151,plain,
    ! [X2,X1] : double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X1) = X2,
    inference(forward_demodulation,[],[f148,f128]) ).

fof(f148,plain,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X2))),inverse(X1))),X1) = X2,
    inference(superposition,[],[f13,f128]) ).

fof(f13,plain,
    ! [X2,X3,X1] : double_divide(inverse(double_divide(inverse(double_divide(X2,inverse(X1))),X3)),double_divide(X2,X3)) = X1,
    inference(superposition,[],[f1,f8]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
    inference(superposition,[],[f1,f1]) ).

fof(f178,plain,
    ! [X0,X1] : double_divide(inverse(X1),X0) = double_divide(inverse(inverse(X0)),inverse(X1)),
    inference(superposition,[],[f151,f77]) ).

fof(f117,plain,
    ! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
    inference(superposition,[],[f13,f77]) ).

fof(f197,plain,
    ! [X0,X1] : double_divide(double_divide(inverse(X1),X0),inverse(X1)) = X0,
    inference(backward_demodulation,[],[f68,f181]) ).

fof(f68,plain,
    ! [X0,X1] : double_divide(inverse(inverse(double_divide(inverse(X1),X0))),inverse(X1)) = X0,
    inference(superposition,[],[f43,f43]) ).

fof(f5,plain,
    ~ sP0(inverse(double_divide(a1,inverse(a1)))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f376,plain,
    ! [X0] : sP0(inverse(double_divide(X0,inverse(X0)))),
    inference(superposition,[],[f6,f346]) ).

fof(f6,plain,
    sP0(inverse(double_divide(b1,inverse(b1)))),
    inference(inequality_splitting,[],[f4,f5]) ).

fof(f4,plain,
    inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.F0Rcczk1Hd/Vampire---4.8_12222',multiply) ).

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/tmp/tmp.F0Rcczk1Hd/Vampire---4.8_12222',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP605-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:40:40 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37  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.F0Rcczk1Hd/Vampire---4.8_12222
% 0.57/0.72  % (12605)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)
% 0.57/0.72  % (12598)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)
% 0.57/0.72  % (12601)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)
% 0.57/0.72  % (12600)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.72  % (12602)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)
% 0.57/0.72  % (12604)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)
% 0.57/0.72  % (12603)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)
% 0.57/0.72  % (12605)Refutation not found, incomplete strategy% (12605)------------------------------
% 0.57/0.72  % (12605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.72  % (12605)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (12605)Memory used [KB]: 947
% 0.57/0.72  % (12605)Time elapsed: 0.001 s
% 0.57/0.72  % (12605)Instructions burned: 2 (million)
% 0.57/0.72  % (12605)------------------------------
% 0.57/0.72  % (12605)------------------------------
% 0.57/0.72  % (12599)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)
% 0.57/0.72  % (12601)Refutation not found, incomplete strategy% (12601)------------------------------
% 0.57/0.72  % (12601)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.72  % (12602)Refutation not found, incomplete strategy% (12602)------------------------------
% 0.57/0.72  % (12602)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.72  % (12602)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (12602)Memory used [KB]: 961
% 0.57/0.72  % (12602)Time elapsed: 0.002 s
% 0.57/0.72  % (12602)Instructions burned: 2 (million)
% 0.57/0.72  % (12602)------------------------------
% 0.57/0.72  % (12602)------------------------------
% 0.57/0.72  % (12601)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (12601)Memory used [KB]: 946
% 0.57/0.72  % (12601)Time elapsed: 0.002 s
% 0.57/0.72  % (12601)Instructions burned: 2 (million)
% 0.57/0.72  % (12598)Refutation not found, incomplete strategy% (12598)------------------------------
% 0.57/0.72  % (12598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.72  % (12601)------------------------------
% 0.57/0.72  % (12601)------------------------------
% 0.57/0.72  % (12598)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (12598)Memory used [KB]: 962
% 0.57/0.72  % (12598)Time elapsed: 0.003 s
% 0.57/0.72  % (12598)Instructions burned: 2 (million)
% 0.57/0.72  % (12598)------------------------------
% 0.57/0.72  % (12598)------------------------------
% 0.57/0.72  % (12604)Refutation not found, incomplete strategy% (12604)------------------------------
% 0.57/0.72  % (12604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.72  % (12603)Refutation not found, incomplete strategy% (12603)------------------------------
% 0.57/0.72  % (12603)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.72  % (12604)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (12604)Memory used [KB]: 949
% 0.57/0.72  % (12604)Time elapsed: 0.002 s
% 0.57/0.72  % (12604)Instructions burned: 2 (million)
% 0.57/0.72  % (12604)------------------------------
% 0.57/0.72  % (12604)------------------------------
% 0.57/0.72  % (12603)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.72  
% 0.57/0.72  % (12603)Memory used [KB]: 948
% 0.57/0.72  % (12603)Time elapsed: 0.003 s
% 0.57/0.72  % (12603)Instructions burned: 2 (million)
% 0.57/0.72  % (12603)------------------------------
% 0.57/0.72  % (12603)------------------------------
% 0.57/0.73  % (12608)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)
% 0.57/0.73  % (12609)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)
% 0.57/0.73  % (12611)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)
% 0.57/0.73  % (12613)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)
% 0.57/0.73  % (12614)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)
% 0.57/0.73  % (12609)Refutation not found, incomplete strategy% (12609)------------------------------
% 0.57/0.73  % (12609)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (12609)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (12609)Memory used [KB]: 948
% 0.57/0.73  % (12609)Time elapsed: 0.002 s
% 0.57/0.73  % (12609)Instructions burned: 2 (million)
% 0.57/0.73  % (12609)------------------------------
% 0.57/0.73  % (12609)------------------------------
% 0.57/0.73  % (12613)Refutation not found, incomplete strategy% (12613)------------------------------
% 0.57/0.73  % (12613)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (12614)Refutation not found, incomplete strategy% (12614)------------------------------
% 0.57/0.73  % (12614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (12614)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (12614)Memory used [KB]: 948
% 0.57/0.73  % (12614)Time elapsed: 0.003 s
% 0.57/0.73  % (12614)Instructions burned: 2 (million)
% 0.57/0.73  % (12614)------------------------------
% 0.57/0.73  % (12614)------------------------------
% 0.57/0.73  % (12613)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (12613)Memory used [KB]: 948
% 0.57/0.73  % (12613)Time elapsed: 0.003 s
% 0.57/0.73  % (12613)Instructions burned: 2 (million)
% 0.57/0.73  % (12613)------------------------------
% 0.57/0.73  % (12613)------------------------------
% 0.57/0.73  % (12610)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)
% 0.57/0.73  % (12617)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)
% 0.57/0.73  % (12618)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)
% 0.57/0.73  % (12619)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)
% 0.57/0.73  % (12618)Refutation not found, incomplete strategy% (12618)------------------------------
% 0.57/0.73  % (12618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (12618)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (12618)Memory used [KB]: 948
% 0.57/0.73  % (12618)Time elapsed: 0.003 s
% 0.57/0.73  % (12618)Instructions burned: 2 (million)
% 0.57/0.73  % (12618)------------------------------
% 0.57/0.73  % (12618)------------------------------
% 0.57/0.73  % (12619)Refutation not found, incomplete strategy% (12619)------------------------------
% 0.57/0.73  % (12619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.73  % (12619)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (12619)Memory used [KB]: 963
% 0.57/0.73  % (12619)Time elapsed: 0.002 s
% 0.57/0.73  % (12619)Instructions burned: 2 (million)
% 0.57/0.74  % (12619)------------------------------
% 0.57/0.74  % (12619)------------------------------
% 0.57/0.74  % (12622)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.57/0.74  % (12623)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.57/0.74  % (12623)Refutation not found, incomplete strategy% (12623)------------------------------
% 0.57/0.74  % (12623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12623)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (12608)First to succeed.
% 0.57/0.74  % (12623)Memory used [KB]: 947
% 0.57/0.74  % (12623)Time elapsed: 0.002 s
% 0.57/0.74  % (12623)Instructions burned: 2 (million)
% 0.57/0.74  % (12623)------------------------------
% 0.57/0.74  % (12623)------------------------------
% 0.57/0.74  % (12608)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (12608)------------------------------
% 0.57/0.74  % (12608)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (12608)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (12608)Memory used [KB]: 1332
% 0.57/0.74  % (12608)Time elapsed: 0.016 s
% 0.57/0.74  % (12608)Instructions burned: 48 (million)
% 0.57/0.74  % (12608)------------------------------
% 0.57/0.74  % (12608)------------------------------
% 0.57/0.74  % (12465)Success in time 0.362 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------