TSTP Solution File: GRP715-10 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% 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 : n011.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 02:32:28 EDT 2024

% Result   : Unsatisfiable 0.69s 0.84s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% 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 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f537,plain,
    $false,
    inference(subsumption_resolution,[],[f531,f15]) ).

fof(f15,plain,
    x0 != sF1,
    inference(definition_folding,[],[f12,f14,f13]) ).

fof(f13,plain,
    mult(x0,op_a) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f14,plain,
    mult(sF0,op_b) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f12,axiom,
    x0 != mult(mult(x0,op_a),op_b),
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',goal) ).

fof(f531,plain,
    x0 = sF1,
    inference(superposition,[],[f528,f14]) ).

fof(f528,plain,
    x0 = mult(sF0,op_b),
    inference(forward_demodulation,[],[f527,f8]) ).

fof(f8,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',f08) ).

fof(f527,plain,
    mult(sF0,op_b) = mult(x0,unit),
    inference(forward_demodulation,[],[f526,f10]) ).

fof(f10,axiom,
    unit = mult(op_a,op_b),
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',f10) ).

fof(f526,plain,
    mult(sF0,op_b) = mult(x0,mult(op_a,op_b)),
    inference(forward_demodulation,[],[f517,f26]) ).

fof(f26,plain,
    op_a = mult(op_b,mult(op_a,op_a)),
    inference(forward_demodulation,[],[f20,f9]) ).

fof(f9,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',f09) ).

fof(f20,plain,
    mult(op_b,mult(op_a,op_a)) = mult(unit,op_a),
    inference(superposition,[],[f7,f11]) ).

fof(f11,axiom,
    unit = mult(op_b,op_a),
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',f11) ).

fof(f7,axiom,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',f07) ).

fof(f517,plain,
    mult(sF0,op_b) = mult(x0,mult(mult(op_b,mult(op_a,op_a)),op_b)),
    inference(superposition,[],[f6,f326]) ).

fof(f326,plain,
    sF0 = mult(mult(x0,op_b),mult(op_a,op_a)),
    inference(forward_demodulation,[],[f325,f13]) ).

fof(f325,plain,
    mult(x0,op_a) = mult(mult(x0,op_b),mult(op_a,op_a)),
    inference(forward_demodulation,[],[f317,f319]) ).

fof(f319,plain,
    mult(sF1,op_b) = mult(x0,op_b),
    inference(forward_demodulation,[],[f318,f9]) ).

fof(f318,plain,
    mult(x0,op_b) = mult(sF1,mult(unit,op_b)),
    inference(forward_demodulation,[],[f311,f11]) ).

fof(f311,plain,
    mult(sF1,mult(mult(op_b,op_a),op_b)) = mult(x0,op_b),
    inference(superposition,[],[f6,f297]) ).

fof(f297,plain,
    x0 = mult(mult(sF1,op_b),op_a),
    inference(forward_demodulation,[],[f296,f8]) ).

fof(f296,plain,
    mult(x0,unit) = mult(mult(sF1,op_b),op_a),
    inference(forward_demodulation,[],[f295,f22]) ).

fof(f22,plain,
    mult(sF0,mult(op_b,op_b)) = mult(sF1,op_b),
    inference(superposition,[],[f7,f14]) ).

fof(f295,plain,
    mult(x0,unit) = mult(mult(sF0,mult(op_b,op_b)),op_a),
    inference(forward_demodulation,[],[f279,f11]) ).

fof(f279,plain,
    mult(mult(sF0,mult(op_b,op_b)),op_a) = mult(x0,mult(op_b,op_a)),
    inference(superposition,[],[f63,f25]) ).

fof(f25,plain,
    op_b = mult(op_a,mult(op_b,op_b)),
    inference(forward_demodulation,[],[f19,f9]) ).

fof(f19,plain,
    mult(op_a,mult(op_b,op_b)) = mult(unit,op_b),
    inference(superposition,[],[f7,f10]) ).

fof(f63,plain,
    ! [X0] : mult(x0,mult(mult(op_a,X0),op_a)) = mult(mult(sF0,X0),op_a),
    inference(superposition,[],[f6,f13]) ).

fof(f317,plain,
    mult(x0,op_a) = mult(mult(sF1,op_b),mult(op_a,op_a)),
    inference(superposition,[],[f7,f297]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.5esCflInvm/Vampire---4.8_26090',f06) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.13  % 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
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:32:31 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.34  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.5esCflInvm/Vampire---4.8_26090
% 0.60/0.81  % (26203)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)
% 0.60/0.81  % (26204)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)
% 0.60/0.81  % (26205)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)
% 0.60/0.81  % (26200)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)
% 0.60/0.81  % (26201)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)
% 0.60/0.81  % (26206)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)
% 0.60/0.82  % (26207)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)
% 0.60/0.82  % (26204)Refutation not found, incomplete strategy% (26204)------------------------------
% 0.60/0.82  % (26204)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26204)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26205)Refutation not found, incomplete strategy% (26205)------------------------------
% 0.60/0.82  % (26205)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26205)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  % (26204)Memory used [KB]: 965
% 0.60/0.82  
% 0.60/0.82  % (26204)Time elapsed: 0.003 s
% 0.60/0.82  % (26205)Memory used [KB]: 951
% 0.60/0.82  % (26205)Time elapsed: 0.002 s
% 0.60/0.82  % (26204)Instructions burned: 2 (million)
% 0.60/0.82  % (26204)------------------------------
% 0.60/0.82  % (26204)------------------------------
% 0.60/0.82  % (26205)Instructions burned: 2 (million)
% 0.60/0.82  % (26205)------------------------------
% 0.60/0.82  % (26205)------------------------------
% 0.60/0.82  % (26203)Refutation not found, incomplete strategy% (26203)------------------------------
% 0.60/0.82  % (26203)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26203)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26203)Memory used [KB]: 952
% 0.60/0.82  % (26203)Time elapsed: 0.003 s
% 0.60/0.82  % (26203)Instructions burned: 2 (million)
% 0.60/0.82  % (26203)------------------------------
% 0.60/0.82  % (26203)------------------------------
% 0.60/0.82  % (26200)Refutation not found, incomplete strategy% (26200)------------------------------
% 0.60/0.82  % (26200)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26200)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26200)Memory used [KB]: 966
% 0.60/0.82  % (26200)Time elapsed: 0.003 s
% 0.60/0.82  % (26200)Instructions burned: 2 (million)
% 0.60/0.82  % (26200)------------------------------
% 0.60/0.82  % (26200)------------------------------
% 0.60/0.82  % (26207)Refutation not found, incomplete strategy% (26207)------------------------------
% 0.60/0.82  % (26207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26207)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26207)Memory used [KB]: 950
% 0.60/0.82  % (26207)Time elapsed: 0.002 s
% 0.60/0.82  % (26207)Instructions burned: 2 (million)
% 0.60/0.82  % (26207)------------------------------
% 0.60/0.82  % (26207)------------------------------
% 0.60/0.82  % (26202)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (26206)Refutation not found, incomplete strategy% (26206)------------------------------
% 0.60/0.82  % (26206)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26206)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26206)Memory used [KB]: 951
% 0.60/0.82  % (26206)Time elapsed: 0.003 s
% 0.60/0.82  % (26206)Instructions burned: 2 (million)
% 0.60/0.82  % (26206)------------------------------
% 0.60/0.82  % (26206)------------------------------
% 0.60/0.82  % (26208)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)
% 0.60/0.82  % (26210)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)
% 0.60/0.82  % (26209)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)
% 0.60/0.82  % (26211)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)
% 0.60/0.82  % (26212)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)
% 0.60/0.82  % (26213)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)
% 0.60/0.82  % (26209)Refutation not found, incomplete strategy% (26209)------------------------------
% 0.60/0.82  % (26209)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26209)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26209)Memory used [KB]: 948
% 0.60/0.82  % (26209)Time elapsed: 0.002 s
% 0.60/0.82  % (26209)Instructions burned: 2 (million)
% 0.60/0.82  % (26209)------------------------------
% 0.60/0.82  % (26209)------------------------------
% 0.60/0.82  % (26212)Refutation not found, incomplete strategy% (26212)------------------------------
% 0.60/0.82  % (26212)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26212)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26212)Memory used [KB]: 951
% 0.60/0.82  % (26212)Time elapsed: 0.002 s
% 0.60/0.82  % (26212)Instructions burned: 2 (million)
% 0.60/0.82  % (26212)------------------------------
% 0.60/0.82  % (26212)------------------------------
% 0.60/0.82  % (26213)Refutation not found, incomplete strategy% (26213)------------------------------
% 0.60/0.82  % (26213)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26213)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26213)Memory used [KB]: 950
% 0.60/0.82  % (26213)Time elapsed: 0.002 s
% 0.60/0.82  % (26213)Instructions burned: 2 (million)
% 0.60/0.82  % (26213)------------------------------
% 0.60/0.82  % (26213)------------------------------
% 0.60/0.82  % (26215)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)
% 0.60/0.82  % (26214)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)
% 0.60/0.82  % (26216)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 (2995ds/143Mi)
% 0.60/0.82  % (26215)Refutation not found, incomplete strategy% (26215)------------------------------
% 0.60/0.82  % (26215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (26215)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (26215)Memory used [KB]: 953
% 0.60/0.82  % (26215)Time elapsed: 0.002 s
% 0.60/0.82  % (26215)Instructions burned: 2 (million)
% 0.60/0.82  % (26215)------------------------------
% 0.60/0.82  % (26215)------------------------------
% 0.60/0.83  % (26216)Refutation not found, incomplete strategy% (26216)------------------------------
% 0.60/0.83  % (26216)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (26216)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (26216)Memory used [KB]: 969
% 0.60/0.83  % (26216)Time elapsed: 0.003 s
% 0.60/0.83  % (26216)Instructions burned: 3 (million)
% 0.60/0.83  % (26216)------------------------------
% 0.60/0.83  % (26216)------------------------------
% 0.60/0.83  % (26217)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 (2995ds/93Mi)
% 0.60/0.83  % (26218)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 (2995ds/62Mi)
% 0.60/0.83  % (26218)Refutation not found, incomplete strategy% (26218)------------------------------
% 0.60/0.83  % (26218)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (26218)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (26218)Memory used [KB]: 952
% 0.60/0.83  % (26218)Time elapsed: 0.002 s
% 0.60/0.83  % (26218)Instructions burned: 2 (million)
% 0.60/0.83  % (26218)------------------------------
% 0.60/0.83  % (26218)------------------------------
% 0.69/0.83  % (26219)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.69/0.84  % (26210)First to succeed.
% 0.69/0.84  % (26210)Refutation found. Thanks to Tanya!
% 0.69/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.69/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.84  % (26210)------------------------------
% 0.69/0.84  % (26210)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.69/0.84  % (26210)Termination reason: Refutation
% 0.69/0.84  
% 0.69/0.84  % (26210)Memory used [KB]: 1266
% 0.69/0.84  % (26210)Time elapsed: 0.018 s
% 0.69/0.84  % (26210)Instructions burned: 34 (million)
% 0.69/0.84  % (26210)------------------------------
% 0.69/0.84  % (26210)------------------------------
% 0.69/0.84  % (26198)Success in time 0.491 s
% 0.69/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------