TSTP Solution File: KLE070+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE070+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 : n031.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 0.65s 0.77s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  20 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f571,plain,
    $false,
    inference(subsumption_resolution,[],[f570,f43]) ).

fof(f43,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.2q95ECNM39/Vampire---4.8_18096',multiplicative_right_identity) ).

fof(f570,plain,
    domain(sK0) != multiplication(domain(sK0),one),
    inference(forward_demodulation,[],[f556,f48]) ).

fof(f48,plain,
    ! [X0] : one = addition(one,domain(X0)),
    inference(superposition,[],[f38,f31]) ).

fof(f31,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(domain(X3),one),
    file('/export/starexec/sandbox/tmp/tmp.2q95ECNM39/Vampire---4.8_18096',domain3) ).

fof(f38,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/sandbox/tmp/tmp.2q95ECNM39/Vampire---4.8_18096',additive_commutativity) ).

fof(f556,plain,
    domain(sK0) != multiplication(domain(sK0),addition(one,domain(sK1))),
    inference(superposition,[],[f29,f171]) ).

fof(f171,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(superposition,[],[f34,f43]) ).

fof(f34,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.2q95ECNM39/Vampire---4.8_18096',right_distributivity) ).

fof(f29,plain,
    domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).

fof(f27,plain,
    ( ? [X0,X1] : domain(X0) != addition(domain(X0),multiplication(domain(X0),domain(X1)))
   => domain(sK0) != addition(domain(sK0),multiplication(domain(sK0),domain(sK1))) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1] : domain(X0) != addition(domain(X0),multiplication(domain(X0),domain(X1))),
    inference(ennf_transformation,[],[f20]) ).

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

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

fof(f18,conjecture,
    ! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
    file('/export/starexec/sandbox/tmp/tmp.2q95ECNM39/Vampire---4.8_18096',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE070+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.15/0.35  % Computer : n031.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 19:14:14 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.2q95ECNM39/Vampire---4.8_18096
% 0.60/0.74  % (18356)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)
% 0.60/0.74  % (18356)Refutation not found, incomplete strategy% (18356)------------------------------
% 0.60/0.74  % (18356)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74  % (18356)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74  
% 0.60/0.74  % (18356)Memory used [KB]: 973
% 0.60/0.74  % (18356)Time elapsed: 0.002 s
% 0.60/0.74  % (18356)Instructions burned: 3 (million)
% 0.60/0.74  % (18356)------------------------------
% 0.60/0.74  % (18356)------------------------------
% 0.60/0.74  % (18352)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.74  % (18353)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)
% 0.60/0.74  % (18350)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)
% 0.60/0.74  % (18355)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)
% 0.60/0.74  % (18351)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)
% 0.60/0.74  % (18357)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)
% 0.60/0.74  % (18355)Refutation not found, incomplete strategy% (18355)------------------------------
% 0.60/0.74  % (18355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74  % (18355)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74  
% 0.60/0.74  % (18357)Refutation not found, incomplete strategy% (18357)------------------------------
% 0.60/0.74  % (18357)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74  % (18355)Memory used [KB]: 973
% 0.60/0.74  % (18355)Time elapsed: 0.003 s
% 0.60/0.74  % (18355)Instructions burned: 2 (million)
% 0.60/0.74  % (18355)------------------------------
% 0.60/0.74  % (18355)------------------------------
% 0.60/0.74  % (18353)Refutation not found, incomplete strategy% (18353)------------------------------
% 0.60/0.74  % (18353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74  % (18353)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74  
% 0.60/0.74  % (18353)Memory used [KB]: 974
% 0.60/0.74  % (18353)Time elapsed: 0.003 s
% 0.60/0.74  % (18353)Instructions burned: 3 (million)
% 0.60/0.74  % (18353)------------------------------
% 0.60/0.74  % (18353)------------------------------
% 0.60/0.74  % (18357)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74  
% 0.60/0.74  % (18357)Memory used [KB]: 972
% 0.60/0.74  % (18357)Time elapsed: 0.002 s
% 0.60/0.74  % (18357)Instructions burned: 2 (million)
% 0.60/0.74  % (18357)------------------------------
% 0.60/0.74  % (18357)------------------------------
% 0.60/0.74  % (18350)Refutation not found, incomplete strategy% (18350)------------------------------
% 0.60/0.74  % (18350)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.74  % (18350)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.74  
% 0.60/0.74  % (18350)Memory used [KB]: 989
% 0.60/0.74  % (18350)Time elapsed: 0.003 s
% 0.60/0.74  % (18350)Instructions burned: 3 (million)
% 0.60/0.74  % (18350)------------------------------
% 0.60/0.74  % (18350)------------------------------
% 0.60/0.75  % (18354)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)
% 0.60/0.75  % (18354)Refutation not found, incomplete strategy% (18354)------------------------------
% 0.60/0.75  % (18354)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (18354)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (18354)Memory used [KB]: 989
% 0.60/0.75  % (18354)Time elapsed: 0.001 s
% 0.60/0.75  % (18354)Instructions burned: 2 (million)
% 0.60/0.75  % (18354)------------------------------
% 0.60/0.75  % (18354)------------------------------
% 0.60/0.75  % (18358)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)
% 0.60/0.75  % (18361)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)
% 0.60/0.75  % (18363)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)
% 0.60/0.75  % (18360)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)
% 0.60/0.75  % (18359)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)
% 0.60/0.75  % (18363)Refutation not found, incomplete strategy% (18363)------------------------------
% 0.60/0.75  % (18363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (18363)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (18363)Memory used [KB]: 973
% 0.60/0.75  % (18363)Time elapsed: 0.001 s
% 0.60/0.75  % (18363)Instructions burned: 2 (million)
% 0.60/0.75  % (18363)------------------------------
% 0.60/0.75  % (18363)------------------------------
% 0.60/0.75  % (18359)Refutation not found, incomplete strategy% (18359)------------------------------
% 0.60/0.75  % (18359)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (18359)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (18359)Memory used [KB]: 971
% 0.60/0.75  % (18359)Time elapsed: 0.002 s
% 0.60/0.75  % (18359)Instructions burned: 2 (million)
% 0.60/0.75  % (18359)------------------------------
% 0.60/0.75  % (18359)------------------------------
% 0.60/0.75  % (18362)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)
% 0.60/0.75  % (18362)Refutation not found, incomplete strategy% (18362)------------------------------
% 0.60/0.75  % (18362)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (18362)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (18362)Memory used [KB]: 974
% 0.60/0.75  % (18362)Time elapsed: 0.004 s
% 0.60/0.75  % (18362)Instructions burned: 3 (million)
% 0.60/0.75  % (18362)------------------------------
% 0.60/0.75  % (18362)------------------------------
% 0.60/0.76  % (18364)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)
% 0.60/0.76  % (18365)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)
% 0.60/0.76  % (18366)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 (2996ds/143Mi)
% 0.60/0.76  % (18365)Refutation not found, incomplete strategy% (18365)------------------------------
% 0.60/0.76  % (18365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (18365)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (18365)Memory used [KB]: 972
% 0.60/0.76  % (18365)Time elapsed: 0.003 s
% 0.60/0.76  % (18365)Instructions burned: 2 (million)
% 0.60/0.76  % (18365)------------------------------
% 0.60/0.76  % (18365)------------------------------
% 0.60/0.76  % (18366)Refutation not found, incomplete strategy% (18366)------------------------------
% 0.60/0.76  % (18366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (18366)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (18366)Memory used [KB]: 1055
% 0.60/0.76  % (18366)Time elapsed: 0.004 s
% 0.60/0.76  % (18366)Instructions burned: 4 (million)
% 0.60/0.76  % (18366)------------------------------
% 0.60/0.76  % (18366)------------------------------
% 0.60/0.76  % (18367)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.65/0.77  % (18368)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.65/0.77  % (18368)Refutation not found, incomplete strategy% (18368)------------------------------
% 0.65/0.77  % (18368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.77  % (18368)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.77  
% 0.65/0.77  % (18368)Memory used [KB]: 974
% 0.65/0.77  % (18368)Time elapsed: 0.003 s
% 0.65/0.77  % (18368)Instructions burned: 2 (million)
% 0.65/0.77  % (18368)------------------------------
% 0.65/0.77  % (18368)------------------------------
% 0.65/0.77  % (18351)Instruction limit reached!
% 0.65/0.77  % (18351)------------------------------
% 0.65/0.77  % (18351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.77  % (18351)Termination reason: Unknown
% 0.65/0.77  % (18351)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (18351)Memory used [KB]: 1392
% 0.65/0.77  % (18351)Time elapsed: 0.029 s
% 0.65/0.77  % (18351)Instructions burned: 52 (million)
% 0.65/0.77  % (18351)------------------------------
% 0.65/0.77  % (18351)------------------------------
% 0.65/0.77  % (18361)First to succeed.
% 0.65/0.77  % (18369)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.65/0.77  % (18361)Refutation found. Thanks to Tanya!
% 0.65/0.77  % SZS status Theorem for Vampire---4
% 0.65/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.77  % (18361)------------------------------
% 0.65/0.77  % (18361)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.77  % (18361)Termination reason: Refutation
% 0.65/0.77  
% 0.65/0.77  % (18361)Memory used [KB]: 1324
% 0.65/0.77  % (18361)Time elapsed: 0.026 s
% 0.65/0.77  % (18361)Instructions burned: 43 (million)
% 0.65/0.77  % (18361)------------------------------
% 0.65/0.77  % (18361)------------------------------
% 0.65/0.77  % (18346)Success in time 0.401 s
% 0.65/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------