TSTP Solution File: SWV415+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n026.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 10:29:32 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  15 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   59 (  51   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f212,plain,
    $false,
    inference(subsumption_resolution,[],[f209,f173]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : insert_pq(i(triple(X0,X1,X4)),X2) = i(triple(X5,insert_slb(X1,pair(X2,X3)),X6)),
    inference(superposition,[],[f114,f116]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
    file('/export/starexec/sandbox/tmp/tmp.TDPo6OysHf/Vampire---4.8_739',ax55) ).

fof(f114,plain,
    ! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
    file('/export/starexec/sandbox/tmp/tmp.TDPo6OysHf/Vampire---4.8_739',main2_l12) ).

fof(f209,plain,
    ! [X0,X1] : insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(triple(X0,insert_slb(sK1,pair(sK3,bottom)),X1)),
    inference(superposition,[],[f115,f169]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1,X4,X5] : i(triple(X4,insert_slb(X2,pair(X1,bottom)),X5)) = i(insert_cpq(triple(X0,X2,X3),X1)),
    inference(superposition,[],[f114,f125]) ).

fof(f125,plain,
    ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox/tmp/tmp.TDPo6OysHf/Vampire---4.8_739',ax42) ).

fof(f115,plain,
    insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f76,f103]) ).

fof(f103,plain,
    ( ? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3))
   => insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3)) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3)),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,negated_conjecture,
    ~ ! [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
    inference(negated_conjecture,[],[f64]) ).

fof(f64,conjecture,
    ! [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
    file('/export/starexec/sandbox/tmp/tmp.TDPo6OysHf/Vampire---4.8_739',co2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV415+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15  % 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
% 0.15/0.36  % Computer : n026.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 21:13:53 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.TDPo6OysHf/Vampire---4.8_739
% 0.58/0.75  % (862)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)
% 0.58/0.75  % (862)Refutation not found, incomplete strategy% (862)------------------------------
% 0.58/0.75  % (862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (862)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (862)Memory used [KB]: 1092
% 0.58/0.75  % (862)Time elapsed: 0.002 s
% 0.58/0.75  % (862)Instructions burned: 2 (million)
% 0.58/0.75  % (853)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)
% 0.58/0.75  % (857)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (856)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)
% 0.58/0.75  % (859)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)
% 0.58/0.75  % (862)------------------------------
% 0.58/0.75  % (862)------------------------------
% 0.58/0.75  % (860)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)
% 0.58/0.75  % (858)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)
% 0.58/0.75  % (861)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)
% 0.58/0.75  % (853)Refutation not found, incomplete strategy% (853)------------------------------
% 0.58/0.75  % (853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (853)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (853)Memory used [KB]: 1095
% 0.58/0.75  % (853)Time elapsed: 0.003 s
% 0.58/0.75  % (853)Instructions burned: 3 (million)
% 0.58/0.75  % (853)------------------------------
% 0.58/0.75  % (853)------------------------------
% 0.58/0.75  % (863)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)
% 0.58/0.75  % (859)Refutation not found, incomplete strategy% (859)------------------------------
% 0.58/0.75  % (859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (859)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (859)Memory used [KB]: 1136
% 0.58/0.75  % (859)Time elapsed: 0.005 s
% 0.58/0.75  % (859)Instructions burned: 6 (million)
% 0.58/0.75  % (859)------------------------------
% 0.58/0.75  % (859)------------------------------
% 0.58/0.75  % (864)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)
% 0.58/0.76  % (865)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)
% 0.58/0.76  % (864)Refutation not found, incomplete strategy% (864)------------------------------
% 0.58/0.76  % (864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (864)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (864)Memory used [KB]: 1114
% 0.58/0.76  % (864)Time elapsed: 0.004 s
% 0.58/0.76  % (864)Instructions burned: 5 (million)
% 0.58/0.76  % (864)------------------------------
% 0.58/0.76  % (864)------------------------------
% 0.58/0.76  % (866)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)
% 0.58/0.76  % (858)Instruction limit reached!
% 0.58/0.76  % (858)------------------------------
% 0.58/0.76  % (858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (858)Termination reason: Unknown
% 0.58/0.76  % (858)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (858)Memory used [KB]: 1331
% 0.58/0.76  % (858)Time elapsed: 0.017 s
% 0.58/0.76  % (858)Instructions burned: 33 (million)
% 0.58/0.76  % (858)------------------------------
% 0.58/0.76  % (858)------------------------------
% 0.58/0.77  % (863)Instruction limit reached!
% 0.58/0.77  % (863)------------------------------
% 0.58/0.77  % (863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (863)Termination reason: Unknown
% 0.58/0.77  % (863)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (863)Memory used [KB]: 1332
% 0.58/0.77  % (863)Time elapsed: 0.017 s
% 0.58/0.77  % (863)Instructions burned: 59 (million)
% 0.58/0.77  % (863)------------------------------
% 0.58/0.77  % (863)------------------------------
% 0.58/0.77  % (867)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)
% 0.58/0.77  % (868)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)
% 0.58/0.77  % (868)Refutation not found, incomplete strategy% (868)------------------------------
% 0.58/0.77  % (868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (868)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (868)Memory used [KB]: 1128
% 0.58/0.77  % (868)Time elapsed: 0.002 s
% 0.58/0.77  % (868)Instructions burned: 5 (million)
% 0.58/0.77  % (868)------------------------------
% 0.58/0.77  % (868)------------------------------
% 0.58/0.77  % (860)Instruction limit reached!
% 0.58/0.77  % (860)------------------------------
% 0.58/0.77  % (860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (860)Termination reason: Unknown
% 0.58/0.77  % (860)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (860)Memory used [KB]: 1297
% 0.58/0.77  % (860)Time elapsed: 0.025 s
% 0.58/0.77  % (860)Instructions burned: 46 (million)
% 0.58/0.77  % (860)------------------------------
% 0.58/0.77  % (860)------------------------------
% 0.58/0.77  % (867)First to succeed.
% 0.58/0.77  % (867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-852"
% 0.58/0.77  % (869)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)
% 0.58/0.77  % (867)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (867)------------------------------
% 0.58/0.77  % (867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (867)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (867)Memory used [KB]: 1194
% 0.58/0.77  % (867)Time elapsed: 0.007 s
% 0.58/0.77  % (867)Instructions burned: 8 (million)
% 0.58/0.77  % (852)Success in time 0.403 s
% 0.58/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------