TSTP Solution File: GRP559-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP559-1 : 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 : n028.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 02:30:12 EDT 2024

% Result   : Unsatisfiable 0.63s 0.78s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   30 (  30 unt;   0 def)
%            Number of atoms       :   30 (  29 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f485,plain,
    $false,
    inference(subsumption_resolution,[],[f472,f12]) ).

fof(f12,plain,
    sF3 != sF6,
    inference(definition_folding,[],[f4,f11,f10,f9,f7,f8,f7,f6,f5]) ).

fof(f5,plain,
    inverse(b3) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f6,plain,
    divide(a3,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f8,plain,
    divide(sF1,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f7,plain,
    inverse(c3) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f9,plain,
    divide(b3,sF2) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f10,plain,
    inverse(sF4) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f11,plain,
    divide(a3,sF5) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f4,plain,
    divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
    inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    file('/export/starexec/sandbox/tmp/tmp.KDAZGmJ3qB/Vampire---4.8_2074',multiply) ).

fof(f3,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/tmp/tmp.KDAZGmJ3qB/Vampire---4.8_2074',prove_these_axioms_3) ).

fof(f472,plain,
    sF3 = sF6,
    inference(superposition,[],[f460,f11]) ).

fof(f460,plain,
    sF3 = divide(a3,sF5),
    inference(forward_demodulation,[],[f459,f10]) ).

fof(f459,plain,
    sF3 = divide(a3,inverse(sF4)),
    inference(superposition,[],[f116,f429]) ).

fof(f429,plain,
    sF4 = divide(sF3,a3),
    inference(superposition,[],[f116,f415]) ).

fof(f415,plain,
    a3 = inverse(divide(sF4,sF3)),
    inference(forward_demodulation,[],[f404,f30]) ).

fof(f30,plain,
    ! [X0] : a3 = divide(X0,inverse(divide(a3,divide(X0,inverse(divide(sF1,sF1)))))),
    inference(superposition,[],[f1,f23]) ).

fof(f23,plain,
    a3 = divide(a3,inverse(divide(sF1,sF1))),
    inference(superposition,[],[f14,f6]) ).

fof(f14,plain,
    ! [X0] : a3 = divide(X0,inverse(divide(sF1,divide(X0,sF0)))),
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.KDAZGmJ3qB/Vampire---4.8_2074',single_axiom) ).

fof(f404,plain,
    ! [X0] : divide(X0,inverse(divide(a3,divide(X0,inverse(divide(sF1,sF1)))))) = inverse(divide(sF4,sF3)),
    inference(superposition,[],[f25,f161]) ).

fof(f161,plain,
    sF1 = divide(inverse(divide(sF4,sF3)),sF0),
    inference(forward_demodulation,[],[f147,f5]) ).

fof(f147,plain,
    sF1 = divide(inverse(divide(sF4,sF3)),inverse(b3)),
    inference(superposition,[],[f116,f34]) ).

fof(f34,plain,
    b3 = divide(sF1,inverse(divide(sF4,sF3))),
    inference(superposition,[],[f16,f8]) ).

fof(f16,plain,
    ! [X0] : b3 = divide(X0,inverse(divide(sF4,divide(X0,sF2)))),
    inference(superposition,[],[f1,f9]) ).

fof(f25,plain,
    ! [X0,X1] : divide(X1,inverse(divide(a3,divide(X1,inverse(divide(sF1,divide(X0,sF0))))))) = X0,
    inference(superposition,[],[f1,f14]) ).

fof(f116,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
    inference(superposition,[],[f13,f112]) ).

fof(f112,plain,
    ! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
    inference(superposition,[],[f13,f1]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1] : divide(X3,inverse(divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP559-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % 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
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 18:47:00 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.36  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.KDAZGmJ3qB/Vampire---4.8_2074
% 0.54/0.75  % (2335)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)
% 0.54/0.75  % (2335)Refutation not found, incomplete strategy% (2335)------------------------------
% 0.54/0.75  % (2335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2335)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (2335)Memory used [KB]: 949
% 0.54/0.75  % (2335)Time elapsed: 0.002 s
% 0.54/0.75  % (2335)Instructions burned: 2 (million)
% 0.54/0.75  % (2335)------------------------------
% 0.54/0.75  % (2335)------------------------------
% 0.54/0.75  % (2329)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)
% 0.54/0.75  % (2331)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (2332)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)
% 0.54/0.75  % (2333)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)
% 0.54/0.75  % (2334)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)
% 0.54/0.75  % (2330)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)
% 0.54/0.75  % (2332)Refutation not found, incomplete strategy% (2332)------------------------------
% 0.54/0.75  % (2332)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2332)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (2333)Refutation not found, incomplete strategy% (2333)------------------------------
% 0.54/0.75  % (2333)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2333)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (2333)Memory used [KB]: 961
% 0.54/0.75  % (2333)Time elapsed: 0.002 s
% 0.54/0.75  % (2333)Instructions burned: 2 (million)
% 0.54/0.75  % (2333)------------------------------
% 0.54/0.75  % (2333)------------------------------
% 0.54/0.75  % (2329)Refutation not found, incomplete strategy% (2329)------------------------------
% 0.54/0.75  % (2329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2334)Refutation not found, incomplete strategy% (2334)------------------------------
% 0.54/0.75  % (2334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2332)Memory used [KB]: 947
% 0.54/0.75  % (2329)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  % (2334)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % (2329)Memory used [KB]: 962
% 0.54/0.75  % (2334)Memory used [KB]: 949
% 0.54/0.75  % (2329)Time elapsed: 0.002 s
% 0.54/0.75  % (2334)Time elapsed: 0.002 s
% 0.54/0.75  % (2329)Instructions burned: 2 (million)
% 0.54/0.75  % (2334)Instructions burned: 2 (million)
% 0.54/0.75  % (2329)------------------------------
% 0.54/0.75  % (2329)------------------------------
% 0.54/0.75  % (2334)------------------------------
% 0.54/0.75  % (2334)------------------------------
% 0.54/0.75  % (2332)Time elapsed: 0.002 s
% 0.54/0.75  % (2332)Instructions burned: 2 (million)
% 0.54/0.75  % (2332)------------------------------
% 0.54/0.75  % (2332)------------------------------
% 0.54/0.75  % (2336)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)
% 0.54/0.75  % (2336)Refutation not found, incomplete strategy% (2336)------------------------------
% 0.54/0.75  % (2336)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2336)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (2336)Memory used [KB]: 947
% 0.54/0.75  % (2336)Time elapsed: 0.001 s
% 0.54/0.75  % (2336)Instructions burned: 2 (million)
% 0.54/0.75  % (2336)------------------------------
% 0.54/0.75  % (2336)------------------------------
% 0.54/0.75  % (2340)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)
% 0.54/0.75  % (2337)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)
% 0.54/0.75  % (2342)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)
% 0.54/0.75  % (2338)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)
% 0.54/0.75  % (2339)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)
% 0.54/0.75  % (2342)Refutation not found, incomplete strategy% (2342)------------------------------
% 0.54/0.75  % (2342)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (2342)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (2342)Memory used [KB]: 948
% 0.54/0.75  % (2342)Time elapsed: 0.001 s
% 0.54/0.75  % (2342)Instructions burned: 2 (million)
% 0.54/0.75  % (2342)------------------------------
% 0.54/0.75  % (2342)------------------------------
% 0.54/0.76  % (2338)Refutation not found, incomplete strategy% (2338)------------------------------
% 0.54/0.76  % (2338)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (2338)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (2338)Memory used [KB]: 948
% 0.54/0.76  % (2338)Time elapsed: 0.002 s
% 0.54/0.76  % (2338)Instructions burned: 2 (million)
% 0.54/0.76  % (2338)------------------------------
% 0.54/0.76  % (2338)------------------------------
% 0.54/0.76  % (2341)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)
% 0.54/0.76  % (2341)Refutation not found, incomplete strategy% (2341)------------------------------
% 0.54/0.76  % (2341)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (2341)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (2341)Memory used [KB]: 949
% 0.54/0.76  % (2341)Time elapsed: 0.003 s
% 0.54/0.76  % (2341)Instructions burned: 2 (million)
% 0.54/0.76  % (2341)------------------------------
% 0.54/0.76  % (2341)------------------------------
% 0.54/0.76  % (2344)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)
% 0.54/0.76  % (2343)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)
% 0.54/0.76  % (2344)Refutation not found, incomplete strategy% (2344)------------------------------
% 0.54/0.76  % (2344)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (2344)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (2344)Memory used [KB]: 948
% 0.54/0.76  % (2344)Time elapsed: 0.003 s
% 0.54/0.76  % (2344)Instructions burned: 2 (million)
% 0.54/0.76  % (2344)------------------------------
% 0.54/0.76  % (2344)------------------------------
% 0.54/0.76  % (2345)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)
% 0.54/0.76  % (2345)Refutation not found, incomplete strategy% (2345)------------------------------
% 0.54/0.76  % (2345)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (2345)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (2345)Memory used [KB]: 963
% 0.54/0.76  % (2345)Time elapsed: 0.024 s
% 0.54/0.76  % (2345)Instructions burned: 2 (million)
% 0.54/0.76  % (2345)------------------------------
% 0.54/0.76  % (2345)------------------------------
% 0.54/0.77  % (2346)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)
% 0.63/0.77  % (2347)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)
% 0.63/0.77  % (2347)Refutation not found, incomplete strategy% (2347)------------------------------
% 0.63/0.77  % (2347)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.77  % (2347)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (2347)Memory used [KB]: 947
% 0.63/0.77  % (2347)Time elapsed: 0.003 s
% 0.63/0.77  % (2347)Instructions burned: 2 (million)
% 0.63/0.77  % (2347)------------------------------
% 0.63/0.77  % (2347)------------------------------
% 0.63/0.77  % (2339)First to succeed.
% 0.63/0.78  % (2339)Refutation found. Thanks to Tanya!
% 0.63/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.78  % (2339)------------------------------
% 0.63/0.78  % (2339)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.78  % (2339)Termination reason: Refutation
% 0.63/0.78  
% 0.63/0.78  % (2339)Memory used [KB]: 1517
% 0.63/0.78  % (2339)Time elapsed: 0.044 s
% 0.63/0.78  % (2339)Instructions burned: 38 (million)
% 0.63/0.78  % (2339)------------------------------
% 0.63/0.78  % (2339)------------------------------
% 0.63/0.78  % (2325)Success in time 0.421 s
% 0.63/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------