TSTP Solution File: COL002-10 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COL002-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : n020.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 : Sun May  5 04:44:27 EDT 2024

% Result   : Unsatisfiable 0.63s 0.78s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,plain,
    $false,
    inference(subsumption_resolution,[],[f179,f14]) ).

fof(f14,plain,
    ! [X3] : true != fixed_point(sF3(X3)),
    inference(backward_demodulation,[],[f13,f12]) ).

fof(f12,plain,
    ! [X3] : fixed_point(sF3(X3)) = sF4(X3),
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f13,plain,
    ! [X3] : true != sF4(X3),
    inference(definition_folding,[],[f7,f12,f11,f10,f9,f8,f10,f9,f8]) ).

fof(f8,plain,
    ! [X3] : apply(b,X3) = sF0(X3),
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f9,plain,
    ! [X3] : apply(s,sF0(X3)) = sF1(X3),
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f10,plain,
    ! [X3] : apply(sF1(X3),i) = sF2(X3),
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f11,plain,
    ! [X3] : apply(sF2(X3),sF2(X3)) = sF3(X3),
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f7,axiom,
    ! [X3] : true != fixed_point(apply(apply(apply(s,apply(b,X3)),i),apply(apply(s,apply(b,X3)),i))),
    file('/export/starexec/sandbox2/tmp/tmp.vrGfCqHC54/Vampire---4.8_31153',prove_weak_fixed_point) ).

fof(f179,plain,
    true = fixed_point(sF3(fixed_pt)),
    inference(forward_demodulation,[],[f175,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.vrGfCqHC54/Vampire---4.8_31153',ifeq_axiom) ).

fof(f175,plain,
    true = ifeq(sF3(fixed_pt),sF3(fixed_pt),fixed_point(sF3(fixed_pt)),true),
    inference(superposition,[],[f6,f105]) ).

fof(f105,plain,
    ! [X0] : sF3(X0) = apply(X0,sF3(X0)),
    inference(superposition,[],[f87,f11]) ).

fof(f87,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(sF2(X0),X1),
    inference(forward_demodulation,[],[f86,f15]) ).

fof(f15,plain,
    ! [X3,X4,X5] : apply(X3,apply(X4,X5)) = apply(apply(sF0(X3),X4),X5),
    inference(forward_demodulation,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X3,X4,X5] : apply(apply(apply(b,X3),X4),X5) = apply(X3,apply(X4,X5)),
    file('/export/starexec/sandbox2/tmp/tmp.vrGfCqHC54/Vampire---4.8_31153',b_definition) ).

fof(f86,plain,
    ! [X0,X1] : apply(apply(sF0(X0),X1),X1) = apply(sF2(X0),X1),
    inference(forward_demodulation,[],[f60,f10]) ).

fof(f60,plain,
    ! [X0,X1] : apply(apply(sF0(X0),X1),X1) = apply(apply(sF1(X0),i),X1),
    inference(superposition,[],[f26,f9]) ).

fof(f26,plain,
    ! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
    inference(superposition,[],[f2,f5]) ).

fof(f5,axiom,
    ! [X3] : apply(i,X3) = X3,
    file('/export/starexec/sandbox2/tmp/tmp.vrGfCqHC54/Vampire---4.8_31153',i_definition) ).

fof(f2,axiom,
    ! [X3,X4,X5] : apply(apply(apply(s,X3),X4),X5) = apply(apply(X3,X5),apply(X4,X5)),
    file('/export/starexec/sandbox2/tmp/tmp.vrGfCqHC54/Vampire---4.8_31153',s_definition) ).

fof(f6,axiom,
    ! [X6] : true = ifeq(X6,apply(fixed_pt,X6),fixed_point(X6),true),
    file('/export/starexec/sandbox2/tmp/tmp.vrGfCqHC54/Vampire---4.8_31153',weak_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : COL002-10 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.15  % 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 : n020.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   : Fri May  3 18:28:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ 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.vrGfCqHC54/Vampire---4.8_31153
% 0.57/0.75  % (31447)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)
% 0.57/0.75  % (31448)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)
% 0.57/0.75  % (31447)Refutation not found, incomplete strategy% (31447)------------------------------
% 0.57/0.75  % (31447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (31447)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (31447)Memory used [KB]: 953
% 0.57/0.75  % (31447)Time elapsed: 0.002 s
% 0.57/0.75  % (31447)Instructions burned: 2 (million)
% 0.57/0.75  % (31441)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)
% 0.57/0.75  % (31442)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)
% 0.57/0.76  % (31447)------------------------------
% 0.57/0.76  % (31447)------------------------------
% 0.57/0.76  % (31448)Refutation not found, incomplete strategy% (31448)------------------------------
% 0.57/0.76  % (31448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31448)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31448)Memory used [KB]: 949
% 0.57/0.76  % (31448)Time elapsed: 0.002 s
% 0.57/0.76  % (31448)Instructions burned: 2 (million)
% 0.57/0.76  % (31448)------------------------------
% 0.57/0.76  % (31448)------------------------------
% 0.57/0.76  % (31445)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)
% 0.57/0.76  % (31441)Refutation not found, incomplete strategy% (31441)------------------------------
% 0.57/0.76  % (31441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31441)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31441)Memory used [KB]: 965
% 0.57/0.76  % (31441)Time elapsed: 0.003 s
% 0.57/0.76  % (31441)Instructions burned: 2 (million)
% 0.57/0.76  % (31441)------------------------------
% 0.57/0.76  % (31441)------------------------------
% 0.57/0.76  % (31445)Refutation not found, incomplete strategy% (31445)------------------------------
% 0.57/0.76  % (31445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31445)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31445)Memory used [KB]: 965
% 0.57/0.76  % (31445)Time elapsed: 0.003 s
% 0.57/0.76  % (31445)Instructions burned: 2 (million)
% 0.57/0.76  % (31445)------------------------------
% 0.57/0.76  % (31445)------------------------------
% 0.57/0.76  % (31446)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)
% 0.57/0.76  % (31450)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)
% 0.57/0.76  % (31446)Refutation not found, incomplete strategy% (31446)------------------------------
% 0.57/0.76  % (31446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31446)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31446)Memory used [KB]: 954
% 0.57/0.76  % (31446)Time elapsed: 0.003 s
% 0.57/0.76  % (31446)Instructions burned: 2 (million)
% 0.57/0.76  % (31449)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)
% 0.57/0.76  % (31450)Refutation not found, incomplete strategy% (31450)------------------------------
% 0.57/0.76  % (31450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31446)------------------------------
% 0.57/0.76  % (31446)------------------------------
% 0.57/0.76  % (31444)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)
% 0.57/0.76  % (31450)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31450)Memory used [KB]: 951
% 0.57/0.76  % (31450)Time elapsed: 0.001 s
% 0.57/0.76  % (31450)Instructions burned: 2 (million)
% 0.57/0.76  % (31450)------------------------------
% 0.57/0.76  % (31450)------------------------------
% 0.57/0.76  % (31444)Refutation not found, incomplete strategy% (31444)------------------------------
% 0.57/0.76  % (31444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31444)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31444)Memory used [KB]: 954
% 0.57/0.76  % (31444)Time elapsed: 0.002 s
% 0.57/0.76  % (31444)Instructions burned: 2 (million)
% 0.57/0.76  % (31444)------------------------------
% 0.57/0.76  % (31444)------------------------------
% 0.57/0.76  % (31452)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)
% 0.57/0.76  % (31443)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (31451)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)
% 0.57/0.76  % (31454)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)
% 0.57/0.76  % (31454)Refutation not found, incomplete strategy% (31454)------------------------------
% 0.57/0.76  % (31454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (31454)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (31454)Memory used [KB]: 950
% 0.57/0.76  % (31454)Time elapsed: 0.001 s
% 0.57/0.76  % (31454)Instructions burned: 2 (million)
% 0.57/0.76  % (31454)------------------------------
% 0.57/0.76  % (31454)------------------------------
% 0.63/0.76  % (31456)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)
% 0.63/0.76  % (31453)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)
% 0.63/0.76  % (31456)Refutation not found, incomplete strategy% (31456)------------------------------
% 0.63/0.76  % (31456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (31456)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (31456)Memory used [KB]: 952
% 0.63/0.76  % (31456)Time elapsed: 0.001 s
% 0.63/0.76  % (31456)Instructions burned: 2 (million)
% 0.63/0.77  % (31456)------------------------------
% 0.63/0.77  % (31456)------------------------------
% 0.63/0.77  % (31455)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)
% 0.63/0.77  % (31457)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)
% 0.63/0.77  % (31457)Refutation not found, incomplete strategy% (31457)------------------------------
% 0.63/0.77  % (31457)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (31457)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (31457)Memory used [KB]: 968
% 0.63/0.77  % (31457)Time elapsed: 0.002 s
% 0.63/0.77  % (31457)Instructions burned: 3 (million)
% 0.63/0.77  % (31457)------------------------------
% 0.63/0.77  % (31457)------------------------------
% 0.63/0.77  % (31455)First to succeed.
% 0.63/0.77  % (31455)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31368"
% 0.63/0.78  % (31455)Refutation found. Thanks to Tanya!
% 0.63/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.78  % (31455)------------------------------
% 0.63/0.78  % (31455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (31455)Termination reason: Refutation
% 0.63/0.78  
% 0.63/0.78  % (31455)Memory used [KB]: 1161
% 0.63/0.78  % (31455)Time elapsed: 0.011 s
% 0.63/0.78  % (31455)Instructions burned: 17 (million)
% 0.63/0.78  % (31368)Success in time 0.403 s
% 0.63/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------