TSTP Solution File: GRP451-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP451-1 : 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 : n006.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 02:29:30 EDT 2024

% Result   : Unsatisfiable 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 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    :    8 (   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   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(subsumption_resolution,[],[f120,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/sandbox/tmp/tmp.yGjgZ4Jgbd/Vampire---4.8_21919',prove_these_axioms_1) ).

fof(f120,plain,
    sF1 = sF3,
    inference(forward_demodulation,[],[f119,f44]) ).

fof(f44,plain,
    ! [X0,X1] : sF1 = divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1),
    inference(forward_demodulation,[],[f42,f10]) ).

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

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox/tmp/tmp.yGjgZ4Jgbd/Vampire---4.8_21919',inverse) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox/tmp/tmp.yGjgZ4Jgbd/Vampire---4.8_21919',multiply) ).

fof(f42,plain,
    ! [X0,X1] : sF1 = divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1),
    inference(superposition,[],[f12,f35]) ).

fof(f35,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f33]) ).

fof(f33,plain,
    sF1 = divide(sF0,sF0),
    inference(superposition,[],[f14,f6]) ).

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

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

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

fof(f1,axiom,
    ! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
    file('/export/starexec/sandbox/tmp/tmp.yGjgZ4Jgbd/Vampire---4.8_21919',single_axiom) ).

fof(f119,plain,
    ! [X0,X1] : sF3 = divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1),
    inference(forward_demodulation,[],[f114,f10]) ).

fof(f114,plain,
    ! [X0,X1] : sF3 = divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1),
    inference(superposition,[],[f12,f38]) ).

fof(f38,plain,
    ! [X0] : inverse(X0) = divide(sF3,X0),
    inference(superposition,[],[f3,f36]) ).

fof(f36,plain,
    sF3 = divide(sF2,sF2),
    inference(superposition,[],[f15,f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP451-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.10  % 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
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Apr 30 18:20:20 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.10/0.30  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.yGjgZ4Jgbd/Vampire---4.8_21919
% 0.61/0.78  % (22034)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)
% 0.61/0.78  % (22032)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (22035)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)
% 0.61/0.78  % (22033)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)
% 0.61/0.78  % (22030)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)
% 0.61/0.78  % (22031)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)
% 0.61/0.78  % (22037)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)
% 0.61/0.78  % (22036)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)
% 0.61/0.78  % (22034)Refutation not found, incomplete strategy% (22034)------------------------------
% 0.61/0.78  % (22034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22034)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22034)Memory used [KB]: 961
% 0.61/0.78  % (22034)Time elapsed: 0.002 s
% 0.61/0.78  % (22034)Instructions burned: 2 (million)
% 0.61/0.78  % (22034)------------------------------
% 0.61/0.78  % (22034)------------------------------
% 0.61/0.78  % (22037)Refutation not found, incomplete strategy% (22037)------------------------------
% 0.61/0.78  % (22037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22037)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22037)Memory used [KB]: 948
% 0.61/0.78  % (22037)Time elapsed: 0.002 s
% 0.61/0.78  % (22037)Instructions burned: 2 (million)
% 0.61/0.78  % (22037)------------------------------
% 0.61/0.78  % (22037)------------------------------
% 0.61/0.78  % (22030)Refutation not found, incomplete strategy% (22030)------------------------------
% 0.61/0.78  % (22030)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22030)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22030)Memory used [KB]: 963
% 0.61/0.78  % (22030)Time elapsed: 0.003 s
% 0.61/0.78  % (22030)Instructions burned: 2 (million)
% 0.61/0.78  % (22030)------------------------------
% 0.61/0.78  % (22030)------------------------------
% 0.61/0.78  % (22033)Refutation not found, incomplete strategy% (22033)------------------------------
% 0.61/0.78  % (22033)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22033)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22033)Memory used [KB]: 957
% 0.61/0.78  % (22033)Time elapsed: 0.003 s
% 0.61/0.78  % (22033)Instructions burned: 2 (million)
% 0.61/0.78  % (22033)------------------------------
% 0.61/0.78  % (22033)------------------------------
% 0.61/0.78  % (22036)Refutation not found, incomplete strategy% (22036)------------------------------
% 0.61/0.78  % (22036)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22036)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22036)Memory used [KB]: 949
% 0.61/0.78  % (22036)Time elapsed: 0.002 s
% 0.61/0.78  % (22036)Instructions burned: 2 (million)
% 0.61/0.78  % (22036)------------------------------
% 0.61/0.78  % (22036)------------------------------
% 0.61/0.78  % (22038)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)
% 0.61/0.78  % (22040)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)
% 0.61/0.78  % (22039)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)
% 0.61/0.78  % (22041)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)
% 0.61/0.78  % (22042)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)
% 0.61/0.78  % (22039)Refutation not found, incomplete strategy% (22039)------------------------------
% 0.61/0.78  % (22039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22039)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22039)Memory used [KB]: 947
% 0.61/0.78  % (22039)Time elapsed: 0.002 s
% 0.61/0.78  % (22039)Instructions burned: 2 (million)
% 0.61/0.78  % (22039)------------------------------
% 0.61/0.78  % (22039)------------------------------
% 0.61/0.78  % (22042)Refutation not found, incomplete strategy% (22042)------------------------------
% 0.61/0.78  % (22042)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22042)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22042)Memory used [KB]: 953
% 0.61/0.78  % (22042)Time elapsed: 0.003 s
% 0.61/0.78  % (22042)Instructions burned: 3 (million)
% 0.61/0.78  % (22042)------------------------------
% 0.61/0.78  % (22042)------------------------------
% 0.61/0.78  % (22035)Refutation not found, incomplete strategy% (22035)------------------------------
% 0.61/0.78  % (22035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (22035)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (22035)Memory used [KB]: 1032
% 0.61/0.78  % (22035)Time elapsed: 0.008 s
% 0.61/0.78  % (22035)Instructions burned: 14 (million)
% 0.61/0.78  % (22035)------------------------------
% 0.61/0.78  % (22035)------------------------------
% 0.61/0.78  % (22040)First to succeed.
% 0.61/0.79  % (22032)Also succeeded, but the first one will report.
% 0.61/0.79  % (22043)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)
% 0.61/0.79  % (22040)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79  % (22040)------------------------------
% 0.61/0.79  % (22040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (22040)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (22040)Memory used [KB]: 1044
% 0.61/0.79  % (22040)Time elapsed: 0.005 s
% 0.61/0.79  % (22040)Instructions burned: 7 (million)
% 0.61/0.79  % (22040)------------------------------
% 0.61/0.79  % (22040)------------------------------
% 0.61/0.79  % (22029)Success in time 0.474 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------