TSTP Solution File: HEN007-5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN007-5 : TPTP v8.2.0. Released v1.0.0.
% 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 : n008.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 21:34:32 EDT 2024

% Result   : Unsatisfiable 0.64s 0.82s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  14 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   9   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1171,plain,
    $false,
    inference(subsumption_resolution,[],[f1170,f3]) ).

fof(f3,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f1170,plain,
    zero != divide(zero,zero),
    inference(forward_demodulation,[],[f1169,f666]) ).

fof(f666,plain,
    ! [X0] : zero = divide(divide(divide(divide(X0,b),divide(X0,a)),zero),zero),
    inference(forward_demodulation,[],[f644,f3]) ).

fof(f644,plain,
    ! [X0] : zero = divide(divide(divide(divide(X0,b),divide(X0,a)),divide(zero,divide(X0,a))),zero),
    inference(superposition,[],[f2,f243]) ).

fof(f243,plain,
    ! [X0] : zero = divide(divide(divide(X0,b),zero),divide(X0,a)),
    inference(unit_resulting_resolution,[],[f1,f13,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( divide(X0,X1) != zero
      | zero != divide(X1,X2)
      | zero = divide(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).

fof(f13,plain,
    ! [X0] : zero = divide(divide(divide(X0,b),zero),divide(divide(X0,a),b)),
    inference(superposition,[],[f2,f7]) ).

fof(f7,axiom,
    zero = divide(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_is_zero) ).

fof(f1,axiom,
    ! [X0,X1] : divide(divide(X0,X1),X0) = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).

fof(f2,axiom,
    ! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).

fof(f1169,plain,
    zero != divide(divide(divide(divide(divide(c,b),divide(c,a)),zero),zero),zero),
    inference(unit_resulting_resolution,[],[f3,f179,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | zero != divide(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divide_and_equal) ).

fof(f179,plain,
    zero != divide(divide(divide(divide(c,b),divide(c,a)),zero),zero),
    inference(unit_resulting_resolution,[],[f3,f75,f4]) ).

fof(f75,plain,
    zero != divide(divide(divide(c,b),divide(c,a)),zero),
    inference(unit_resulting_resolution,[],[f3,f8,f4]) ).

fof(f8,axiom,
    zero != divide(divide(c,b),divide(c,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : HEN007-5 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.16  % 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
% 0.17/0.38  % Computer : n008.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Sun May 19 22:54:38 EDT 2024
% 0.17/0.38  % CPUTime    : 
% 0.17/0.38  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.17/0.38  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/benchmark/theBenchmark.p
% 0.59/0.78  % (11917)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)
% 0.59/0.78  % (11914)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.78  % (11913)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)
% 0.59/0.78  % (11915)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)
% 0.59/0.78  % (11912)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)
% 0.59/0.78  % (11916)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)
% 0.59/0.79  % (11918)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)
% 0.64/0.79  % (11919)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)
% 0.64/0.80  % (11917)Instruction limit reached!
% 0.64/0.80  % (11917)------------------------------
% 0.64/0.80  % (11917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80  % (11917)Termination reason: Unknown
% 0.64/0.80  % (11917)Termination phase: Saturation
% 0.64/0.80  
% 0.64/0.80  % (11917)Memory used [KB]: 1408
% 0.64/0.80  % (11917)Time elapsed: 0.016 s
% 0.64/0.80  % (11917)Instructions burned: 47 (million)
% 0.64/0.80  % (11917)------------------------------
% 0.64/0.80  % (11917)------------------------------
% 0.64/0.80  % (11912)Instruction limit reached!
% 0.64/0.80  % (11912)------------------------------
% 0.64/0.80  % (11912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80  % (11912)Termination reason: Unknown
% 0.64/0.80  % (11912)Termination phase: Saturation
% 0.64/0.80  
% 0.64/0.80  % (11912)Memory used [KB]: 1115
% 0.64/0.80  % (11912)Time elapsed: 0.020 s
% 0.64/0.80  % (11912)Instructions burned: 34 (million)
% 0.64/0.80  % (11912)------------------------------
% 0.64/0.80  % (11912)------------------------------
% 0.64/0.80  % (11915)Instruction limit reached!
% 0.64/0.80  % (11915)------------------------------
% 0.64/0.80  % (11915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80  % (11915)Termination reason: Unknown
% 0.64/0.80  % (11915)Termination phase: Saturation
% 0.64/0.80  
% 0.64/0.80  % (11915)Memory used [KB]: 1297
% 0.64/0.80  % (11915)Time elapsed: 0.016 s
% 0.64/0.80  % (11915)Instructions burned: 33 (million)
% 0.64/0.80  % (11915)------------------------------
% 0.64/0.80  % (11915)------------------------------
% 0.64/0.81  % (11922)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 (2995ds/208Mi)
% 0.64/0.81  % (11920)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)
% 0.64/0.81  % (11921)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 (2995ds/50Mi)
% 0.64/0.81  % (11921)Refutation not found, incomplete strategy% (11921)------------------------------
% 0.64/0.81  % (11921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (11921)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (11921)Memory used [KB]: 982
% 0.64/0.81  % (11921)Time elapsed: 0.002 s
% 0.64/0.81  % (11921)Instructions burned: 2 (million)
% 0.64/0.81  % (11921)------------------------------
% 0.64/0.81  % (11921)------------------------------
% 0.64/0.81  % (11913)Instruction limit reached!
% 0.64/0.81  % (11913)------------------------------
% 0.64/0.81  % (11913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (11913)Termination reason: Unknown
% 0.64/0.81  % (11913)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (11913)Memory used [KB]: 1450
% 0.64/0.81  % (11913)Time elapsed: 0.029 s
% 0.64/0.81  % (11913)Instructions burned: 51 (million)
% 0.64/0.81  % (11913)------------------------------
% 0.64/0.81  % (11913)------------------------------
% 0.64/0.81  % (11916)Instruction limit reached!
% 0.64/0.81  % (11916)------------------------------
% 0.64/0.81  % (11916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (11916)Termination reason: Unknown
% 0.64/0.81  % (11916)Termination phase: Saturation
% 0.64/0.81  
% 0.64/0.81  % (11916)Memory used [KB]: 1177
% 0.64/0.81  % (11916)Time elapsed: 0.033 s
% 0.64/0.81  % (11916)Instructions burned: 35 (million)
% 0.64/0.81  % (11916)------------------------------
% 0.64/0.81  % (11916)------------------------------
% 0.64/0.81  % (11924)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 (2995ds/518Mi)
% 0.64/0.82  % (11923)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 (2995ds/52Mi)
% 0.64/0.82  % (11918)First to succeed.
% 0.64/0.82  % (11918)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11911"
% 0.64/0.82  % (11918)Refutation found. Thanks to Tanya!
% 0.64/0.82  % SZS status Unsatisfiable for theBenchmark
% 0.64/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.82  % (11918)------------------------------
% 0.64/0.82  % (11918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (11918)Termination reason: Refutation
% 0.64/0.82  
% 0.64/0.82  % (11918)Memory used [KB]: 1238
% 0.64/0.82  % (11918)Time elapsed: 0.031 s
% 0.64/0.82  % (11918)Instructions burned: 56 (million)
% 0.64/0.82  % (11911)Success in time 0.416 s
% 0.64/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------