TSTP Solution File: KLE150+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE150+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 : n010.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 03:03:29 EDT 2024

% Result   : Theorem 0.68s 0.81s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  26 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   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 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f152,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f46]) ).

fof(f46,plain,
    sF2 != sF3,
    inference(definition_folding,[],[f27,f45,f43,f44,f43]) ).

fof(f44,plain,
    strong_iteration(sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f43,plain,
    multiplication(sK0,zero) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f45,plain,
    addition(one,sF1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f27,plain,
    strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f25]) ).

fof(f25,plain,
    ( ? [X0] : strong_iteration(multiplication(X0,zero)) != addition(one,multiplication(X0,zero))
   => strong_iteration(multiplication(sK0,zero)) != addition(one,multiplication(sK0,zero)) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0] : strong_iteration(multiplication(X0,zero)) != addition(one,multiplication(X0,zero)),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3] : strong_iteration(multiplication(X3,zero)) = addition(one,multiplication(X3,zero)),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3] : strong_iteration(multiplication(X3,zero)) = addition(one,multiplication(X3,zero)),
    file('/export/starexec/sandbox2/tmp/tmp.3GQaREw18J/Vampire---4.8_1962',goals) ).

fof(f149,plain,
    sF2 = sF3,
    inference(superposition,[],[f105,f45]) ).

fof(f105,plain,
    sF2 = addition(one,sF1),
    inference(superposition,[],[f66,f101]) ).

fof(f101,plain,
    ! [X0] : sF1 = multiplication(sF1,X0),
    inference(forward_demodulation,[],[f100,f43]) ).

fof(f100,plain,
    ! [X0] : multiplication(sK0,zero) = multiplication(sF1,X0),
    inference(forward_demodulation,[],[f91,f35]) ).

fof(f35,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.3GQaREw18J/Vampire---4.8_1962',left_annihilation) ).

fof(f91,plain,
    ! [X0] : multiplication(sK0,multiplication(zero,X0)) = multiplication(sF1,X0),
    inference(superposition,[],[f30,f43]) ).

fof(f30,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.3GQaREw18J/Vampire---4.8_1962',multiplicative_associativity) ).

fof(f66,plain,
    sF2 = addition(one,multiplication(sF1,sF2)),
    inference(superposition,[],[f51,f33]) ).

fof(f33,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.3GQaREw18J/Vampire---4.8_1962',additive_commutativity) ).

fof(f51,plain,
    sF2 = addition(multiplication(sF1,sF2),one),
    inference(superposition,[],[f37,f44]) ).

fof(f37,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    file('/export/starexec/sandbox2/tmp/tmp.3GQaREw18J/Vampire---4.8_1962',infty_unfold1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : KLE150+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11  % 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
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Apr 30 18:26:49 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32  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.3GQaREw18J/Vampire---4.8_1962
% 0.62/0.80  % (2083)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)
% 0.62/0.80  % (2081)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (2082)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)
% 0.62/0.80  % (2084)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)
% 0.62/0.80  % (2074)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)
% 0.62/0.80  % (2075)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)
% 0.62/0.80  % (2085)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)
% 0.62/0.80  % (2086)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)
% 0.62/0.80  % (2083)Refutation not found, incomplete strategy% (2083)------------------------------
% 0.62/0.80  % (2083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (2083)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (2083)Memory used [KB]: 980
% 0.62/0.80  % (2083)Time elapsed: 0.003 s
% 0.62/0.80  % (2083)Instructions burned: 3 (million)
% 0.62/0.80  % (2083)------------------------------
% 0.62/0.80  % (2083)------------------------------
% 0.62/0.80  % (2086)Refutation not found, incomplete strategy% (2086)------------------------------
% 0.62/0.80  % (2086)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (2086)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (2086)Memory used [KB]: 967
% 0.62/0.80  % (2084)Refutation not found, incomplete strategy% (2084)------------------------------
% 0.62/0.80  % (2084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (2086)Time elapsed: 0.002 s
% 0.62/0.80  % (2084)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (2084)Memory used [KB]: 965
% 0.62/0.80  % (2084)Time elapsed: 0.003 s
% 0.62/0.80  % (2086)Instructions burned: 3 (million)
% 0.62/0.80  % (2086)------------------------------
% 0.62/0.80  % (2086)------------------------------
% 0.62/0.80  % (2084)Instructions burned: 3 (million)
% 0.62/0.80  % (2084)------------------------------
% 0.62/0.80  % (2084)------------------------------
% 0.62/0.80  % (2074)Refutation not found, incomplete strategy% (2074)------------------------------
% 0.62/0.80  % (2074)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (2074)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (2074)Memory used [KB]: 980
% 0.62/0.80  % (2074)Time elapsed: 0.003 s
% 0.62/0.80  % (2074)Instructions burned: 3 (million)
% 0.62/0.80  % (2074)------------------------------
% 0.62/0.80  % (2074)------------------------------
% 0.62/0.80  % (2085)Refutation not found, incomplete strategy% (2085)------------------------------
% 0.62/0.80  % (2085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (2085)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (2085)Memory used [KB]: 965
% 0.62/0.80  % (2085)Time elapsed: 0.003 s
% 0.62/0.80  % (2085)Instructions burned: 3 (million)
% 0.62/0.80  % (2082)Refutation not found, incomplete strategy% (2082)------------------------------
% 0.62/0.80  % (2082)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (2085)------------------------------
% 0.62/0.80  % (2085)------------------------------
% 0.62/0.80  % (2082)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (2082)Memory used [KB]: 966
% 0.62/0.80  % (2082)Time elapsed: 0.003 s
% 0.62/0.80  % (2082)Instructions burned: 3 (million)
% 0.62/0.80  % (2082)------------------------------
% 0.62/0.80  % (2082)------------------------------
% 0.62/0.81  % (2089)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)
% 0.62/0.81  % (2088)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)
% 0.62/0.81  % (2087)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)
% 0.62/0.81  % (2090)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)
% 0.62/0.81  % (2091)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)
% 0.62/0.81  % (2092)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)
% 0.62/0.81  % (2088)Refutation not found, incomplete strategy% (2088)------------------------------
% 0.62/0.81  % (2088)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (2088)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (2088)Memory used [KB]: 963
% 0.62/0.81  % (2088)Time elapsed: 0.003 s
% 0.62/0.81  % (2088)Instructions burned: 3 (million)
% 0.62/0.81  % (2088)------------------------------
% 0.62/0.81  % (2088)------------------------------
% 0.62/0.81  % (2091)Refutation not found, incomplete strategy% (2091)------------------------------
% 0.62/0.81  % (2091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (2091)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (2091)Memory used [KB]: 966
% 0.62/0.81  % (2091)Time elapsed: 0.003 s
% 0.62/0.81  % (2092)Refutation not found, incomplete strategy% (2092)------------------------------
% 0.62/0.81  % (2092)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (2091)Instructions burned: 3 (million)
% 0.62/0.81  % (2091)------------------------------
% 0.62/0.81  % (2091)------------------------------
% 0.62/0.81  % (2092)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (2092)Memory used [KB]: 967
% 0.62/0.81  % (2092)Time elapsed: 0.003 s
% 0.62/0.81  % (2092)Instructions burned: 3 (million)
% 0.62/0.81  % (2092)------------------------------
% 0.62/0.81  % (2092)------------------------------
% 0.68/0.81  % (2089)First to succeed.
% 0.68/0.81  % (2093)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 (2995ds/243Mi)
% 0.68/0.81  % (2094)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 (2995ds/117Mi)
% 0.68/0.81  % (2095)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 (2995ds/143Mi)
% 0.68/0.81  % (2089)Refutation found. Thanks to Tanya!
% 0.68/0.81  % SZS status Theorem for Vampire---4
% 0.68/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.81  % (2089)------------------------------
% 0.68/0.81  % (2089)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.81  % (2089)Termination reason: Refutation
% 0.68/0.81  
% 0.68/0.81  % (2089)Memory used [KB]: 1057
% 0.68/0.81  % (2089)Time elapsed: 0.006 s
% 0.68/0.81  % (2089)Instructions burned: 9 (million)
% 0.68/0.81  % (2089)------------------------------
% 0.68/0.81  % (2089)------------------------------
% 0.68/0.81  % (2070)Success in time 0.486 s
% 0.68/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------