TSTP Solution File: KLE074+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE074+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 03:03:03 EDT 2024

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  20 unt;   0 def)
%            Number of atoms       :   22 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (  27   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(subsumption_resolution,[],[f43,f38]) ).

fof(f38,plain,
    ~ sP3(domain(multiplication(sK0,multiplication(sK1,sK2)))),
    inference(forward_demodulation,[],[f37,f30]) ).

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/sandbox/tmp/tmp.CjARkdr5LP/Vampire---4.8_25316',multiplicative_associativity) ).

fof(f37,plain,
    ~ sP3(domain(multiplication(multiplication(sK0,sK1),sK2))),
    inference(forward_demodulation,[],[f34,f32]) ).

fof(f32,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/tmp/tmp.CjARkdr5LP/Vampire---4.8_25316',domain2) ).

fof(f34,plain,
    ~ sP3(domain(multiplication(multiplication(sK0,sK1),domain(sK2)))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f43,plain,
    sP3(domain(multiplication(sK0,multiplication(sK1,sK2)))),
    inference(backward_demodulation,[],[f36,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1))),
    inference(forward_demodulation,[],[f39,f32]) ).

fof(f39,plain,
    ! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,domain(multiplication(X0,X1)))),
    inference(superposition,[],[f32,f32]) ).

fof(f36,plain,
    sP3(domain(multiplication(sK0,multiplication(sK1,domain(sK2))))),
    inference(backward_demodulation,[],[f35,f32]) ).

fof(f35,plain,
    sP3(domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2)))))),
    inference(inequality_splitting,[],[f27,f34]) ).

fof(f27,plain,
    domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25]) ).

fof(f25,plain,
    ( ? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2)))))
   => domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4,X5] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4,X5] : domain(multiplication(multiplication(X3,X4),domain(X5))) = domain(multiplication(X3,domain(multiplication(X4,domain(X5))))),
    file('/export/starexec/sandbox/tmp/tmp.CjARkdr5LP/Vampire---4.8_25316',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n025.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:55:26 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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/tmp/tmp.CjARkdr5LP/Vampire---4.8_25316
% 0.56/0.76  % (25574)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)
% 0.56/0.76  % (25574)Refutation not found, incomplete strategy% (25574)------------------------------
% 0.56/0.76  % (25574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25573)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)
% 0.56/0.76  % (25574)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25574)Memory used [KB]: 972
% 0.56/0.76  % (25574)Time elapsed: 0.002 s
% 0.56/0.76  % (25574)Instructions burned: 2 (million)
% 0.56/0.76  % (25574)------------------------------
% 0.56/0.76  % (25574)------------------------------
% 0.56/0.76  % (25567)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)
% 0.56/0.76  % (25569)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (25570)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)
% 0.56/0.76  % (25568)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)
% 0.56/0.76  % (25571)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)
% 0.56/0.76  % (25572)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)
% 0.56/0.76  % (25573)Refutation not found, incomplete strategy% (25573)------------------------------
% 0.56/0.76  % (25573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25573)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25573)Memory used [KB]: 973
% 0.56/0.76  % (25573)Time elapsed: 0.003 s
% 0.56/0.76  % (25573)Instructions burned: 3 (million)
% 0.56/0.76  % (25573)------------------------------
% 0.56/0.76  % (25573)------------------------------
% 0.56/0.76  % (25572)Refutation not found, incomplete strategy% (25572)------------------------------
% 0.56/0.76  % (25572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25571)Refutation not found, incomplete strategy% (25571)------------------------------
% 0.56/0.76  % (25571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25571)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  % (25572)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  
% 0.56/0.76  % (25571)Memory used [KB]: 989
% 0.56/0.76  % (25572)Memory used [KB]: 973
% 0.56/0.76  % (25571)Time elapsed: 0.003 s
% 0.56/0.76  % (25572)Time elapsed: 0.002 s
% 0.56/0.76  % (25571)Instructions burned: 2 (million)
% 0.56/0.76  % (25572)Instructions burned: 2 (million)
% 0.56/0.76  % (25571)------------------------------
% 0.56/0.76  % (25571)------------------------------
% 0.56/0.76  % (25572)------------------------------
% 0.56/0.76  % (25572)------------------------------
% 0.56/0.76  % (25567)Refutation not found, incomplete strategy% (25567)------------------------------
% 0.56/0.76  % (25567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25567)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25567)Memory used [KB]: 988
% 0.56/0.76  % (25567)Time elapsed: 0.003 s
% 0.56/0.76  % (25567)Instructions burned: 3 (million)
% 0.56/0.76  % (25567)------------------------------
% 0.56/0.76  % (25567)------------------------------
% 0.56/0.76  % (25570)Refutation not found, incomplete strategy% (25570)------------------------------
% 0.56/0.76  % (25570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25570)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25570)Memory used [KB]: 982
% 0.56/0.76  % (25570)Time elapsed: 0.003 s
% 0.56/0.76  % (25570)Instructions burned: 3 (million)
% 0.56/0.76  % (25570)------------------------------
% 0.56/0.76  % (25570)------------------------------
% 0.56/0.76  % (25576)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)
% 0.56/0.76  % (25576)Refutation not found, incomplete strategy% (25576)------------------------------
% 0.56/0.76  % (25576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (25576)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (25576)Memory used [KB]: 973
% 0.56/0.76  % (25576)Time elapsed: 0.001 s
% 0.56/0.76  % (25576)Instructions burned: 3 (million)
% 0.56/0.76  % (25576)------------------------------
% 0.56/0.76  % (25576)------------------------------
% 0.56/0.76  % (25575)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)
% 0.56/0.76  % (25577)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)
% 0.56/0.76  % (25579)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)
% 0.56/0.76  % (25578)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)
% 0.56/0.76  % (25580)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 (2996ds/42Mi)
% 0.56/0.76  % (25575)First to succeed.
% 0.56/0.77  % (25580)Refutation not found, incomplete strategy% (25580)------------------------------
% 0.56/0.77  % (25580)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (25579)Refutation not found, incomplete strategy% (25579)------------------------------
% 0.56/0.77  % (25579)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (25579)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77  
% 0.56/0.77  % (25579)Memory used [KB]: 975
% 0.56/0.77  % (25579)Time elapsed: 0.004 s
% 0.56/0.77  % (25579)Instructions burned: 3 (million)
% 0.56/0.77  % (25579)------------------------------
% 0.56/0.77  % (25579)------------------------------
% 0.56/0.77  % (25580)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77  
% 0.56/0.77  % (25580)Memory used [KB]: 975
% 0.56/0.77  % (25580)Time elapsed: 0.003 s
% 0.56/0.77  % (25580)Instructions burned: 2 (million)
% 0.56/0.77  % (25580)------------------------------
% 0.56/0.77  % (25580)------------------------------
% 0.56/0.77  % (25581)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)
% 0.56/0.77  % (25575)Refutation found. Thanks to Tanya!
% 0.56/0.77  % SZS status Theorem for Vampire---4
% 0.56/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77  % (25575)------------------------------
% 0.56/0.77  % (25575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (25575)Termination reason: Refutation
% 0.56/0.77  
% 0.56/0.77  % (25575)Memory used [KB]: 992
% 0.56/0.77  % (25575)Time elapsed: 0.004 s
% 0.56/0.77  % (25575)Instructions burned: 4 (million)
% 0.56/0.77  % (25575)------------------------------
% 0.56/0.77  % (25575)------------------------------
% 0.56/0.77  % (25563)Success in time 0.395 s
% 0.56/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------