TSTP Solution File: KLE037+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE037+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n015.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 03:02:52 EDT 2024

% Result   : Theorem 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (  22 unt;   0 def)
%            Number of atoms       :   40 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  14   ~;   7   |;   1   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   50 (  48   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f374,plain,
    $false,
    inference(resolution,[],[f354,f44]) ).

fof(f44,plain,
    ~ leq(one,star(sK0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ~ leq(one,star(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f25]) ).

fof(f25,plain,
    ( ? [X0] : ~ leq(one,star(X0))
   => ~ leq(one,star(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0] : ~ leq(one,star(X0)),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0] : leq(one,star(X0)),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X3] : leq(one,star(X3)),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X3] : leq(one,star(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456',goals) ).

fof(f354,plain,
    ! [X0] : leq(one,star(X0)),
    inference(resolution,[],[f281,f40]) ).

fof(f40,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456',star_unfold_right) ).

fof(f281,plain,
    ! [X2,X0,X1] :
      ( ~ leq(addition(X1,X2),X0)
      | leq(X1,X0) ),
    inference(superposition,[],[f251,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( addition(X1,X0) = X1
      | ~ leq(X0,X1) ),
    inference(superposition,[],[f38,f27]) ).

fof(f27,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456',additive_commutativity) ).

fof(f38,plain,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456',order) ).

fof(f251,plain,
    ! [X2,X0,X1] : leq(X1,addition(X2,addition(X1,X0))),
    inference(superposition,[],[f231,f27]) ).

fof(f231,plain,
    ! [X2,X0,X1] : leq(X2,addition(X0,addition(X1,X2))),
    inference(superposition,[],[f201,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456',additive_associativity) ).

fof(f201,plain,
    ! [X0,X1] : leq(X0,addition(X1,X0)),
    inference(superposition,[],[f192,f27]) ).

fof(f192,plain,
    ! [X0,X1] : leq(X0,addition(X0,X1)),
    inference(trivial_inequality_removal,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != addition(X0,X1)
      | leq(X0,addition(X0,X1)) ),
    inference(superposition,[],[f39,f153]) ).

fof(f153,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f28,f30]) ).

fof(f30,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456',additive_idempotence) ).

fof(f39,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KLE037+1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15  % 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
% 0.15/0.36  % Computer : n015.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   : Tue Apr 30 19:00:48 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.MfaFiavPCB/Vampire---4.8_5456
% 0.59/0.75  % (5678)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)
% 0.59/0.75  % (5678)Refutation not found, incomplete strategy% (5678)------------------------------
% 0.59/0.75  % (5678)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5678)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (5678)Memory used [KB]: 991
% 0.59/0.75  % (5678)Time elapsed: 0.002 s
% 0.59/0.75  % (5678)Instructions burned: 2 (million)
% 0.59/0.75  % (5678)------------------------------
% 0.59/0.75  % (5678)------------------------------
% 0.59/0.75  % (5684)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)
% 0.59/0.75  % (5679)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)
% 0.59/0.75  % (5680)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (5681)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)
% 0.59/0.75  % (5685)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)
% 0.59/0.75  % (5684)Refutation not found, incomplete strategy% (5684)------------------------------
% 0.59/0.75  % (5684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5684)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (5684)Memory used [KB]: 964
% 0.59/0.75  % (5684)Time elapsed: 0.003 s
% 0.59/0.75  % (5684)Instructions burned: 3 (million)
% 0.59/0.75  % (5684)------------------------------
% 0.59/0.75  % (5684)------------------------------
% 0.59/0.76  % (5682)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)
% 0.59/0.76  % (5685)Refutation not found, incomplete strategy% (5685)------------------------------
% 0.59/0.76  % (5685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (5685)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5685)Memory used [KB]: 960
% 0.59/0.76  % (5685)Time elapsed: 0.005 s
% 0.59/0.76  % (5681)Refutation not found, incomplete strategy% (5681)------------------------------
% 0.59/0.76  % (5681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (5685)Instructions burned: 2 (million)
% 0.59/0.76  % (5685)------------------------------
% 0.59/0.76  % (5685)------------------------------
% 0.59/0.76  % (5681)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5681)Memory used [KB]: 966
% 0.59/0.76  % (5681)Time elapsed: 0.005 s
% 0.59/0.76  % (5681)Instructions burned: 3 (million)
% 0.59/0.76  % (5681)------------------------------
% 0.59/0.76  % (5681)------------------------------
% 0.59/0.76  % (5682)Refutation not found, incomplete strategy% (5682)------------------------------
% 0.59/0.76  % (5682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (5682)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5682)Memory used [KB]: 965
% 0.59/0.76  % (5682)Time elapsed: 0.003 s
% 0.59/0.76  % (5682)Instructions burned: 2 (million)
% 0.59/0.76  % (5682)------------------------------
% 0.59/0.76  % (5682)------------------------------
% 0.59/0.76  % (5683)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)
% 0.59/0.76  % (5690)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)
% 0.59/0.76  % (5690)Refutation not found, incomplete strategy% (5690)------------------------------
% 0.59/0.76  % (5690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (5690)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5683)Refutation not found, incomplete strategy% (5683)------------------------------
% 0.59/0.76  % (5683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (5683)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5683)Memory used [KB]: 962
% 0.59/0.76  % (5683)Time elapsed: 0.003 s
% 0.59/0.76  % (5683)Instructions burned: 2 (million)
% 0.59/0.76  % (5683)------------------------------
% 0.59/0.76  % (5683)------------------------------
% 0.59/0.76  % (5690)Memory used [KB]: 965
% 0.59/0.76  % (5690)Time elapsed: 0.003 s
% 0.59/0.76  % (5690)Instructions burned: 3 (million)
% 0.59/0.76  % (5690)------------------------------
% 0.59/0.76  % (5690)------------------------------
% 0.59/0.76  % (5693)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)
% 0.59/0.76  % (5693)Refutation not found, incomplete strategy% (5693)------------------------------
% 0.59/0.76  % (5693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (5693)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (5693)Memory used [KB]: 963
% 0.59/0.76  % (5693)Time elapsed: 0.003 s
% 0.59/0.76  % (5693)Instructions burned: 2 (million)
% 0.59/0.76  % (5693)------------------------------
% 0.59/0.76  % (5693)------------------------------
% 0.59/0.76  % (5691)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)
% 0.59/0.76  % (5689)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)
% 0.59/0.76  % (5695)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)
% 0.59/0.76  % (5692)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)
% 0.59/0.76  % (5679)First to succeed.
% 0.59/0.77  % (5696)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)
% 0.59/0.77  % (5679)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Theorem for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (5679)------------------------------
% 0.59/0.77  % (5679)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (5679)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (5679)Memory used [KB]: 1099
% 0.59/0.77  % (5679)Time elapsed: 0.014 s
% 0.59/0.77  % (5679)Instructions burned: 13 (million)
% 0.59/0.77  % (5679)------------------------------
% 0.59/0.77  % (5679)------------------------------
% 0.59/0.77  % (5669)Success in time 0.4 s
% 0.59/0.77  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.59/0.77  5669 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.MfaFiavPCB/Vampire---4.8_5456
% 0.59/0.77  % (5669)------------------------------
% 0.59/0.77  % (5669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (5669)Termination reason: Unknown
% 0.59/0.77  % (5669)Termination phase: Unknown
% 0.59/0.77  
% 0.59/0.77  % (5669)Memory used [KB]: 449
% 0.59/0.77  % (5669)Time elapsed: 0.401 s
% 0.59/0.77  % (5669)Instructions burned: 954 (million)
% 0.59/0.77  % (5669)------------------------------
% 0.59/0.77  % (5669)------------------------------
% 0.59/0.77  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  ???
% 0.59/0.77   ???
% 0.59/0.77    ???
% 0.59/0.77     ???
% 0.59/0.77      ???
% 0.59/0.77       ???
% 0.59/0.77        ???
% 0.59/0.77         ???
% 0.59/0.77          ???
% 0.59/0.77           ???
% 0.59/0.77            ???
% 0.59/0.77             ???
% 0.59/0.77              ???
% 0.59/0.77               ???
% 0.59/0.77                ???
% 0.59/0.77                 ???
% 0.59/0.77                  ???
% 0.59/0.77                   ???
% 0.59/0.77                    ???
% 0.59/0.77                     ???
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------