TSTP Solution File: NUM713_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM713_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : n012.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 03:33:45 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 19 unt; 7 typ; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(func_def_4,type,
ts: ( nat * nat ) > nat ).
tff(func_def_7,type,
sK0: nat ).
tff(f51,plain,
$false,
inference(trivial_inequality_removal,[],[f50]) ).
tff(f50,plain,
ts(x,z) != ts(x,z),
inference(superposition,[],[f48,f21]) ).
tff(f21,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: nat,X1: nat] : ( ts(X0,X1) = ts(X1,X0) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: nat,X3: nat] : ( ts(X2,X3) = ts(X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.o1TBKZImKW/Vampire---4.8_21328',satz29) ).
tff(f48,plain,
ts(x,z) != ts(z,x),
inference(superposition,[],[f47,f19]) ).
tff(f19,plain,
x = pl(y,sK0),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
x = pl(y,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f17]) ).
tff(f17,plain,
( ? [X0: nat] : ( x = pl(y,X0) )
=> ( x = pl(y,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: nat] : ( x = pl(y,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
~ ! [X0: nat] : ( x != pl(y,X0) ),
file('/export/starexec/sandbox/tmp/tmp.o1TBKZImKW/Vampire---4.8_21328',m) ).
tff(f47,plain,
! [X0: nat] : ( ts(x,z) != ts(z,pl(y,X0)) ),
inference(superposition,[],[f23,f38]) ).
tff(f38,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X1,X0),ts(X0,X2)) ),
inference(superposition,[],[f22,f21]) ).
tff(f22,plain,
! [X2: nat,X0: nat,X1: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat,X2: nat] : ( ts(X0,pl(X1,X2)) = pl(ts(X0,X1),ts(X0,X2)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: nat,X3: nat,X4: nat] : ( ts(X2,pl(X3,X4)) = pl(ts(X2,X3),ts(X2,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.o1TBKZImKW/Vampire---4.8_21328',satz30) ).
tff(f23,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(flattening,[],[f6]) ).
tff(f6,negated_conjecture,
~ ~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
~ ! [X0: nat] : ( ts(x,z) != pl(ts(y,z),X0) ),
file('/export/starexec/sandbox/tmp/tmp.o1TBKZImKW/Vampire---4.8_21328',satz32a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM713_8 : TPTP v8.1.2. Released v8.0.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n012.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 16:43:41 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TX0_THM_EQU_NAR problem
% 0.11/0.32 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.o1TBKZImKW/Vampire---4.8_21328
% 0.61/0.80 % (21449)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)
% 0.61/0.80 % (21448)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)
% 0.61/0.80 % (21445)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)
% 0.61/0.80 % (21447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (21450)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)
% 0.61/0.80 % (21451)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)
% 0.61/0.80 % (21446)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)
% 0.61/0.80 % (21452)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)
% 0.61/0.80 % (21449)Refutation not found, incomplete strategy% (21449)------------------------------
% 0.61/0.80 % (21449)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21452)Refutation not found, incomplete strategy% (21452)------------------------------
% 0.61/0.80 % (21452)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21452)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (21452)Memory used [KB]: 950
% 0.61/0.80 % (21452)Time elapsed: 0.002 s
% 0.61/0.80 % (21452)Instructions burned: 2 (million)
% 0.61/0.80 % (21452)------------------------------
% 0.61/0.80 % (21452)------------------------------
% 0.61/0.80 % (21445)Refutation not found, incomplete strategy% (21445)------------------------------
% 0.61/0.80 % (21445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21445)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (21445)Memory used [KB]: 965
% 0.61/0.80 % (21445)Time elapsed: 0.003 s
% 0.61/0.80 % (21445)Instructions burned: 2 (million)
% 0.61/0.80 % (21445)------------------------------
% 0.61/0.80 % (21445)------------------------------
% 0.61/0.80 % (21448)Refutation not found, incomplete strategy% (21448)------------------------------
% 0.61/0.80 % (21448)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21448)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (21448)Memory used [KB]: 953
% 0.61/0.80 % (21448)Time elapsed: 0.003 s
% 0.61/0.80 % (21448)Instructions burned: 2 (million)
% 0.61/0.80 % (21448)------------------------------
% 0.61/0.80 % (21448)------------------------------
% 0.61/0.80 % (21450)Refutation not found, incomplete strategy% (21450)------------------------------
% 0.61/0.80 % (21450)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21450)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (21450)Memory used [KB]: 953
% 0.61/0.80 % (21450)Time elapsed: 0.003 s
% 0.61/0.80 % (21450)Instructions burned: 2 (million)
% 0.61/0.80 % (21450)------------------------------
% 0.61/0.80 % (21450)------------------------------
% 0.61/0.80 % (21451)Refutation not found, incomplete strategy% (21451)------------------------------
% 0.61/0.80 % (21451)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21451)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (21451)Memory used [KB]: 952
% 0.61/0.80 % (21451)Time elapsed: 0.003 s
% 0.61/0.80 % (21451)Instructions burned: 2 (million)
% 0.61/0.80 % (21451)------------------------------
% 0.61/0.80 % (21451)------------------------------
% 0.61/0.80 % (21449)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (21449)Memory used [KB]: 966
% 0.61/0.80 % (21449)Time elapsed: 0.003 s
% 0.61/0.80 % (21449)Instructions burned: 2 (million)
% 0.61/0.80 % (21449)------------------------------
% 0.61/0.80 % (21449)------------------------------
% 0.61/0.80 % (21446)First to succeed.
% 0.61/0.80 % (21447)Also succeeded, but the first one will report.
% 0.61/0.80 % (21446)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (21446)------------------------------
% 0.61/0.80 % (21446)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (21446)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (21446)Memory used [KB]: 982
% 0.61/0.80 % (21446)Time elapsed: 0.004 s
% 0.61/0.80 % (21446)Instructions burned: 4 (million)
% 0.61/0.80 % (21446)------------------------------
% 0.61/0.80 % (21446)------------------------------
% 0.61/0.80 % (21438)Success in time 0.481 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------