TSTP Solution File: GRP521-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP521-1 : TPTP v8.2.0. 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 : n029.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 : Mon May 20 21:10:05 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 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    :    5 (   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   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f139,plain,
    $false,
    inference(subsumption_resolution,[],[f138,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/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f138,plain,
    sF1 = sF3,
    inference(forward_demodulation,[],[f137,f50]) ).

fof(f50,plain,
    ! [X0,X1] : sF1 = divide(X0,multiply(X1,divide(X0,X1))),
    inference(forward_demodulation,[],[f43,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/benchmark/theBenchmark.p',inverse) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f43,plain,
    ! [X0,X1] : sF1 = divide(X0,divide(X1,inverse(divide(X0,X1)))),
    inference(superposition,[],[f1,f33]) ).

fof(f33,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f31]) ).

fof(f31,plain,
    sF1 = divide(sF0,sF0),
    inference(superposition,[],[f12,f6]) ).

fof(f12,plain,
    ! [X0] : multiply(X0,a1) = divide(X0,sF0),
    inference(superposition,[],[f10,f5]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f137,plain,
    ! [X0,X1] : sF3 = divide(X0,multiply(X1,divide(X0,X1))),
    inference(forward_demodulation,[],[f126,f10]) ).

fof(f126,plain,
    ! [X0,X1] : sF3 = divide(X0,divide(X1,inverse(divide(X0,X1)))),
    inference(superposition,[],[f1,f37]) ).

fof(f37,plain,
    ! [X0] : inverse(X0) = divide(sF3,X0),
    inference(superposition,[],[f3,f35]) ).

fof(f35,plain,
    sF3 = divide(sF2,sF2),
    inference(superposition,[],[f13,f8]) ).

fof(f13,plain,
    ! [X0] : multiply(X0,b1) = divide(X0,sF2),
    inference(superposition,[],[f10,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP521-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.14  % 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
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 04:23:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  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/benchmark/theBenchmark.p
% 0.59/0.74  % (7302)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 theBenchmark for (2996ds/83Mi)
% 0.59/0.74  % (7302)Refutation not found, incomplete strategy% (7302)------------------------------
% 0.59/0.74  % (7302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (7302)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7302)Memory used [KB]: 949
% 0.59/0.74  % (7302)Time elapsed: 0.002 s
% 0.59/0.74  % (7302)Instructions burned: 2 (million)
% 0.59/0.74  % (7302)------------------------------
% 0.59/0.74  % (7302)------------------------------
% 0.59/0.74  % (7296)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 theBenchmark for (2996ds/34Mi)
% 0.59/0.74  % (7299)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.59/0.74  % (7297)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 theBenchmark for (2996ds/51Mi)
% 0.59/0.74  % (7300)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 theBenchmark for (2996ds/34Mi)
% 0.59/0.74  % (7298)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.74  % (7301)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.59/0.74  % (7300)Refutation not found, incomplete strategy% (7300)------------------------------
% 0.59/0.74  % (7300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (7296)Refutation not found, incomplete strategy% (7296)------------------------------
% 0.59/0.74  % (7296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (7300)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7300)Memory used [KB]: 962
% 0.59/0.74  % (7300)Time elapsed: 0.002 s
% 0.59/0.74  % (7300)Instructions burned: 2 (million)
% 0.59/0.74  % (7299)Refutation not found, incomplete strategy% (7299)------------------------------
% 0.59/0.74  % (7299)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (7296)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7296)Memory used [KB]: 962
% 0.59/0.74  % (7296)Time elapsed: 0.002 s
% 0.59/0.74  % (7296)Instructions burned: 2 (million)
% 0.59/0.74  % (7299)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7299)Memory used [KB]: 957
% 0.59/0.74  % (7299)Time elapsed: 0.002 s
% 0.59/0.74  % (7299)Instructions burned: 2 (million)
% 0.59/0.74  % (7300)------------------------------
% 0.59/0.74  % (7300)------------------------------
% 0.59/0.74  % (7296)------------------------------
% 0.59/0.74  % (7296)------------------------------
% 0.59/0.74  % (7299)------------------------------
% 0.59/0.74  % (7299)------------------------------
% 0.59/0.74  % (7303)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.59/0.74  % (7303)Refutation not found, incomplete strategy% (7303)------------------------------
% 0.59/0.74  % (7303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (7303)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (7303)Memory used [KB]: 948
% 0.59/0.74  % (7303)Time elapsed: 0.001 s
% 0.59/0.74  % (7303)Instructions burned: 2 (million)
% 0.59/0.74  % (7303)------------------------------
% 0.59/0.74  % (7303)------------------------------
% 0.59/0.74  % (7304)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 theBenchmark for (2996ds/55Mi)
% 0.59/0.75  % (7306)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.59/0.75  % (7305)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 theBenchmark for (2996ds/50Mi)
% 0.59/0.75  % (7307)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 theBenchmark for (2996ds/52Mi)
% 0.59/0.75  % (7301)Refutation not found, incomplete strategy% (7301)------------------------------
% 0.59/0.75  % (7301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (7301)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7301)Memory used [KB]: 1033
% 0.59/0.75  % (7301)Time elapsed: 0.008 s
% 0.59/0.75  % (7301)Instructions burned: 13 (million)
% 0.59/0.75  % (7301)------------------------------
% 0.59/0.75  % (7301)------------------------------
% 0.59/0.75  % (7305)Refutation not found, incomplete strategy% (7305)------------------------------
% 0.59/0.75  % (7305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (7305)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7305)Memory used [KB]: 947
% 0.59/0.75  % (7305)Time elapsed: 0.002 s
% 0.59/0.75  % (7305)Instructions burned: 2 (million)
% 0.59/0.75  % (7305)------------------------------
% 0.59/0.75  % (7305)------------------------------
% 0.59/0.75  % (7309)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 theBenchmark for (2996ds/42Mi)
% 0.59/0.75  % (7309)Refutation not found, incomplete strategy% (7309)------------------------------
% 0.59/0.75  % (7309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (7309)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7309)Memory used [KB]: 948
% 0.59/0.75  % (7309)Time elapsed: 0.001 s
% 0.59/0.75  % (7309)Instructions burned: 2 (million)
% 0.59/0.75  % (7309)------------------------------
% 0.59/0.75  % (7309)------------------------------
% 0.59/0.75  % (7306)First to succeed.
% 0.59/0.75  % (7308)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 theBenchmark for (2996ds/518Mi)
% 0.59/0.75  % (7306)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7292"
% 0.59/0.75  % (7306)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.59/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.75  % (7306)------------------------------
% 0.59/0.75  % (7306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (7306)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (7306)Memory used [KB]: 1050
% 0.59/0.75  % (7306)Time elapsed: 0.007 s
% 0.59/0.75  % (7306)Instructions burned: 8 (million)
% 0.59/0.75  % (7292)Success in time 0.383 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------