TSTP Solution File: NUM696_8 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM696_8 : TPTP v8.2.0. 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 : n018.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 : Tue May 21 01:44:54 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 18 unt; 8 typ; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 61 ( 40 ~; 9 |; 1 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 65 ( 58 !; 7 ?; 65 :)
% 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,
pl: ( nat * nat ) > nat ).
tff(func_def_3,type,
n_1: nat ).
tff(func_def_6,type,
sK0: nat ).
tff(func_def_7,type,
sK1: ( nat * nat * nat ) > nat ).
tff(func_def_8,type,
sK2: nat > nat ).
tff(f68,plain,
$false,
inference(subsumption_resolution,[],[f67,f35]) ).
tff(f35,plain,
y != pl(n_1,x),
inference(forward_demodulation,[],[f29,f31]) ).
tff(f31,plain,
! [X0: nat,X1: nat] : ( pl(X0,X1) = pl(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: nat,X1: nat] : ( pl(X0,X1) = pl(X1,X0) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: nat,X3: nat] : ( pl(X2,X3) = pl(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz6) ).
tff(f29,plain,
y != pl(x,n_1),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( y != pl(x,n_1) )
& ! [X0: nat] : ( y != pl(pl(x,n_1),X0) ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
~ ( ! [X0: nat] : ( y != pl(pl(x,n_1),X0) )
=> ( y = pl(x,n_1) ) ),
inference(flattening,[],[f7]) ).
tff(f7,negated_conjecture,
~ ( ~ ~ ! [X0: nat] : ( y != pl(pl(x,n_1),X0) )
=> ( y = pl(x,n_1) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
( ~ ~ ! [X0: nat] : ( y != pl(pl(x,n_1),X0) )
=> ( y = pl(x,n_1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz25) ).
tff(f67,plain,
y = pl(n_1,x),
inference(forward_demodulation,[],[f66,f31]) ).
tff(f66,plain,
y = pl(x,n_1),
inference(superposition,[],[f30,f65]) ).
tff(f65,plain,
n_1 = sK0,
inference(trivial_inequality_removal,[],[f62]) ).
tff(f62,plain,
( ( y != y )
| ( n_1 = sK0 ) ),
inference(superposition,[],[f51,f30]) ).
tff(f51,plain,
! [X0: nat] :
( ( y != pl(x,X0) )
| ( n_1 = X0 ) ),
inference(superposition,[],[f43,f33]) ).
tff(f33,plain,
! [X0: nat] :
( ( pl(n_1,sK2(X0)) = X0 )
| ( n_1 = X0 ) ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
! [X0: nat] :
( ( n_1 = X0 )
| ( pl(n_1,sK2(X0)) = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f20,f26]) ).
tff(f26,plain,
! [X0: nat] :
( ? [X1: nat] : ( pl(n_1,X1) = X0 )
=> ( pl(n_1,sK2(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
! [X0: nat] :
( ( n_1 = X0 )
| ? [X1: nat] : ( pl(n_1,X1) = X0 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: nat] :
( ! [X1: nat] : ( pl(n_1,X1) != X0 )
=> ( n_1 = X0 ) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
! [X0: nat] :
( ~ ~ ! [X1: nat] : ( pl(n_1,X1) != X0 )
=> ( n_1 = X0 ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: nat] :
( ~ ~ ! [X0: nat] : ( pl(n_1,X0) != X2 )
=> ( n_1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24) ).
tff(f43,plain,
! [X0: nat] : ( y != pl(x,pl(n_1,X0)) ),
inference(superposition,[],[f37,f31]) ).
tff(f37,plain,
! [X0: nat] : ( y != pl(pl(n_1,X0),x) ),
inference(superposition,[],[f36,f34]) ).
tff(f34,plain,
! [X2: nat,X1: nat,X4: nat] : ( pl(pl(X1,X4),X2) = pl(pl(X1,X2),sK1(pl(X1,X4),X1,X2)) ),
inference(equality_resolution,[],[f32]) ).
tff(f32,plain,
! [X2: nat,X0: nat,X1: nat,X4: nat] :
( ( pl(X0,X2) = pl(pl(X1,X2),sK1(X0,X1,X2)) )
| ( pl(X1,X4) != X0 ) ),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: nat,X1: nat,X2: nat] :
( ( pl(X0,X2) = pl(pl(X1,X2),sK1(X0,X1,X2)) )
| ! [X4: nat] : ( pl(X1,X4) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f24]) ).
tff(f24,plain,
! [X0: nat,X1: nat,X2: nat] :
( ? [X3: nat] : ( pl(X0,X2) = pl(pl(X1,X2),X3) )
=> ( pl(X0,X2) = pl(pl(X1,X2),sK1(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f23,plain,
! [X0: nat,X1: nat,X2: nat] :
( ? [X3: nat] : ( pl(X0,X2) = pl(pl(X1,X2),X3) )
| ! [X4: nat] : ( pl(X1,X4) != X0 ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
! [X0: nat,X1: nat,X2: nat] :
( ? [X4: nat] : ( pl(X0,X2) = pl(pl(X1,X2),X4) )
| ! [X3: nat] : ( pl(X1,X3) != X0 ) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat] :
( ~ ! [X3: nat] : ( pl(X1,X3) != X0 )
=> ~ ! [X4: nat] : ( pl(X0,X2) != pl(pl(X1,X2),X4) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: nat,X3: nat,X4: nat] :
( ~ ! [X0: nat] : ( pl(X3,X0) != X2 )
=> ~ ! [X0: nat] : ( pl(X2,X4) != pl(pl(X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a) ).
tff(f36,plain,
! [X0: nat] : ( y != pl(pl(n_1,x),X0) ),
inference(forward_demodulation,[],[f28,f31]) ).
tff(f28,plain,
! [X0: nat] : ( y != pl(pl(x,n_1),X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f30,plain,
y = pl(x,sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
y = pl(x,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f21]) ).
tff(f21,plain,
( ? [X0: nat] : ( y = pl(x,X0) )
=> ( y = pl(x,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: nat] : ( y = pl(x,X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
~ ! [X0: nat] : ( y != pl(x,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM696_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.14 % 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 : n018.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 : Mon May 20 04:30:52 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TX0_THM_EQU_NAR problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.56/0.73 % (24338)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.73 % (24332)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (24334)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (24335)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.73 % (24336)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (24333)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.73 % (24337)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.73 % (24338)Refutation not found, incomplete strategy% (24338)------------------------------
% 0.56/0.73 % (24338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (24338)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (24338)Memory used [KB]: 956
% 0.56/0.73 % (24338)Time elapsed: 0.002 s
% 0.56/0.73 % (24338)Instructions burned: 3 (million)
% 0.56/0.73 % (24338)------------------------------
% 0.56/0.73 % (24338)------------------------------
% 0.56/0.73 % (24332)Refutation not found, incomplete strategy% (24332)------------------------------
% 0.56/0.73 % (24332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (24332)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (24332)Memory used [KB]: 969
% 0.56/0.73 % (24332)Time elapsed: 0.003 s
% 0.56/0.73 % (24332)Instructions burned: 3 (million)
% 0.56/0.73 % (24335)Refutation not found, incomplete strategy% (24335)------------------------------
% 0.56/0.73 % (24335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (24336)Refutation not found, incomplete strategy% (24336)------------------------------
% 0.56/0.73 % (24336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (24336)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (24336)Memory used [KB]: 970
% 0.56/0.73 % (24336)Time elapsed: 0.003 s
% 0.56/0.73 % (24336)Instructions burned: 2 (million)
% 0.56/0.73 % (24335)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (24335)Memory used [KB]: 965
% 0.56/0.73 % (24335)Time elapsed: 0.003 s
% 0.56/0.73 % (24335)Instructions burned: 3 (million)
% 0.56/0.73 % (24332)------------------------------
% 0.56/0.73 % (24332)------------------------------
% 0.56/0.73 % (24336)------------------------------
% 0.56/0.73 % (24336)------------------------------
% 0.56/0.73 % (24335)------------------------------
% 0.56/0.73 % (24335)------------------------------
% 0.56/0.73 % (24337)First to succeed.
% 0.56/0.74 % (24337)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24331"
% 0.56/0.74 % (24339)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74 % (24339)Refutation not found, incomplete strategy% (24339)------------------------------
% 0.56/0.74 % (24339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (24339)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (24339)Memory used [KB]: 954
% 0.56/0.74 % (24339)Time elapsed: 0.001 s
% 0.56/0.74 % (24339)Instructions burned: 2 (million)
% 0.56/0.74 % (24339)------------------------------
% 0.56/0.74 % (24339)------------------------------
% 0.56/0.74 % (24337)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for theBenchmark
% 0.56/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74 % (24337)------------------------------
% 0.56/0.74 % (24337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (24337)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (24337)Memory used [KB]: 980
% 0.56/0.74 % (24337)Time elapsed: 0.004 s
% 0.56/0.74 % (24337)Instructions burned: 5 (million)
% 0.56/0.74 % (24331)Success in time 0.38 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------