TSTP Solution File: NUM942_5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM942_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 02:15:10 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 90 ( 42 unt; 25 typ; 0 def)
% Number of atoms : 88 ( 53 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 53 ( 30 ~; 19 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 13 ( 9 >; 4 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 58 ( 47 !; 0 ?; 58 :)
% ( 11 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(func_def_0,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
bit0: int > int ).
tff(func_def_4,type,
bit1: int > int ).
tff(func_def_5,type,
min: int ).
tff(func_def_6,type,
pls: int ).
tff(func_def_7,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_8,type,
legendre: ( int * int ) > int ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
m: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
zprime: int > $o ).
tff(pred_def_9,type,
pp: bool > $o ).
tff(pred_def_10,type,
sP0: ( int * int ) > $o ).
tff(f794,plain,
$false,
inference(subsumption_resolution,[],[f792,f503]) ).
tff(f503,plain,
bit1(pls) != legendre(min,bit1(bit0(m))),
inference(backward_demodulation,[],[f451,f501]) ).
tff(f501,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = X0 ),
inference(forward_demodulation,[],[f500,f429]) ).
tff(f429,plain,
bit1(pls) = one_one(int),
inference(backward_demodulation,[],[f291,f298]) ).
tff(f298,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X5: int] : ( number_number_of(int,X5) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_number__of__is__id) ).
tff(f291,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(cnf_transformation,[],[f54]) ).
tff(f54,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_one__is__num__one) ).
tff(f500,plain,
! [X0: int] : ( times_times(int,one_one(int),X0) = X0 ),
inference(resolution,[],[f338,f282]) ).
tff(f282,plain,
comm_semiring_1(int),
inference(cnf_transformation,[],[f99]) ).
tff(f99,axiom,
comm_semiring_1(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).
tff(f338,plain,
! [X0: $tType,X1: X0] :
( ~ comm_semiring_1(X0)
| ( times_times(X0,one_one(X0),X1) = X1 ) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,one_one(X0),X1) = X1 )
| ~ comm_semiring_1(X0) ),
inference(ennf_transformation,[],[f142]) ).
tff(f142,plain,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X1: X0] : ( times_times(X0,one_one(X0),X1) = X1 ) ),
inference(rectify,[],[f91]) ).
tff(f91,axiom,
! [X0: $tType] :
( comm_semiring_1(X0)
=> ! [X13: X0] : ( times_times(X0,one_one(X0),X13) = X13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J) ).
tff(f451,plain,
bit1(pls) != legendre(min,bit1(bit0(times_times(int,bit1(pls),m)))),
inference(forward_demodulation,[],[f448,f300]) ).
tff(f300,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X5: int] : ( plus_plus(int,X5,pls) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_add__Pls__right) ).
tff(f448,plain,
bit1(pls) != legendre(min,bit1(plus_plus(int,bit0(times_times(int,bit1(pls),m)),pls))),
inference(backward_demodulation,[],[f444,f377]) ).
tff(f377,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X4: int,X5: int] : ( plus_plus(int,bit0(X5),bit1(X4)) = bit1(plus_plus(int,X5,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_add__Bit0__Bit1) ).
tff(f444,plain,
bit1(pls) != legendre(min,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),bit1(pls))),
inference(forward_demodulation,[],[f441,f374]) ).
tff(f374,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X4: int,X5: int] : ( bit0(times_times(int,X5,X4)) = times_times(int,bit0(X5),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_mult__Bit0) ).
tff(f441,plain,
bit1(pls) != legendre(min,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),bit1(pls))),
inference(backward_demodulation,[],[f432,f374]) ).
tff(f432,plain,
bit1(pls) != legendre(min,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),bit1(pls))),
inference(backward_demodulation,[],[f431,f429]) ).
tff(f431,plain,
one_one(int) != legendre(min,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(forward_demodulation,[],[f427,f298]) ).
tff(f427,plain,
one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(backward_demodulation,[],[f268,f298]) ).
tff(f268,plain,
one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f114]) ).
tff(f114,plain,
one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(flattening,[],[f113]) ).
tff(f113,negated_conjecture,
( ~ one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
inference(negated_conjecture,[],[f112]) ).
tff(f112,conjecture,
one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f792,plain,
bit1(pls) = legendre(min,bit1(bit0(m))),
inference(resolution,[],[f505,f502]) ).
tff(f502,plain,
zprime(bit1(bit0(m))),
inference(backward_demodulation,[],[f452,f501]) ).
tff(f452,plain,
zprime(bit1(bit0(times_times(int,bit1(pls),m)))),
inference(forward_demodulation,[],[f449,f300]) ).
tff(f449,plain,
zprime(bit1(plus_plus(int,bit0(times_times(int,bit1(pls),m)),pls))),
inference(backward_demodulation,[],[f443,f377]) ).
tff(f443,plain,
zprime(plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),bit1(pls))),
inference(forward_demodulation,[],[f440,f374]) ).
tff(f440,plain,
zprime(plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),bit1(pls))),
inference(backward_demodulation,[],[f433,f374]) ).
tff(f433,plain,
zprime(plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),bit1(pls))),
inference(backward_demodulation,[],[f426,f429]) ).
tff(f426,plain,
zprime(plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int))),
inference(backward_demodulation,[],[f293,f298]) ).
tff(f293,plain,
zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_p) ).
tff(f505,plain,
! [X0: int] :
( ~ zprime(bit1(bit0(X0)))
| ( bit1(pls) = legendre(min,bit1(bit0(X0))) ) ),
inference(forward_demodulation,[],[f504,f501]) ).
tff(f504,plain,
! [X0: int] :
( ( bit1(pls) = legendre(min,bit1(bit0(X0))) )
| ~ zprime(bit1(bit0(times_times(int,bit1(pls),X0)))) ),
inference(backward_demodulation,[],[f455,f501]) ).
tff(f455,plain,
! [X0: int] :
( ~ zprime(bit1(bit0(times_times(int,bit1(pls),X0))))
| ( bit1(pls) = legendre(min,bit1(bit0(times_times(int,bit1(pls),X0)))) ) ),
inference(forward_demodulation,[],[f454,f300]) ).
tff(f454,plain,
! [X0: int] :
( ~ zprime(bit1(plus_plus(int,bit0(times_times(int,bit1(pls),X0)),pls)))
| ( bit1(pls) = legendre(min,bit1(bit0(times_times(int,bit1(pls),X0)))) ) ),
inference(forward_demodulation,[],[f453,f377]) ).
tff(f453,plain,
! [X0: int] :
( ( bit1(pls) = legendre(min,bit1(bit0(times_times(int,bit1(pls),X0)))) )
| ~ zprime(plus_plus(int,bit0(bit0(times_times(int,bit1(pls),X0))),bit1(pls))) ),
inference(forward_demodulation,[],[f450,f300]) ).
tff(f450,plain,
! [X0: int] :
( ( bit1(pls) = legendre(min,bit1(plus_plus(int,bit0(times_times(int,bit1(pls),X0)),pls))) )
| ~ zprime(plus_plus(int,bit0(bit0(times_times(int,bit1(pls),X0))),bit1(pls))) ),
inference(backward_demodulation,[],[f447,f377]) ).
tff(f447,plain,
! [X0: int] :
( ~ zprime(plus_plus(int,bit0(bit0(times_times(int,bit1(pls),X0))),bit1(pls)))
| ( bit1(pls) = legendre(min,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),X0))),bit1(pls))) ) ),
inference(forward_demodulation,[],[f446,f374]) ).
tff(f446,plain,
! [X0: int] :
( ~ zprime(plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),X0)),bit1(pls)))
| ( bit1(pls) = legendre(min,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),X0))),bit1(pls))) ) ),
inference(forward_demodulation,[],[f445,f374]) ).
tff(f445,plain,
! [X0: int] :
( ( bit1(pls) = legendre(min,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),X0))),bit1(pls))) )
| ~ zprime(plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls))) ),
inference(forward_demodulation,[],[f442,f374]) ).
tff(f442,plain,
! [X0: int] :
( ( bit1(pls) = legendre(min,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),X0)),bit1(pls))) )
| ~ zprime(plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls))) ),
inference(backward_demodulation,[],[f439,f374]) ).
tff(f439,plain,
! [X0: int] :
( ~ zprime(plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls)))
| ( bit1(pls) = legendre(min,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls))) ) ),
inference(forward_demodulation,[],[f438,f298]) ).
tff(f438,plain,
! [X0: int] :
( ~ zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),bit1(pls)))
| ( bit1(pls) = legendre(min,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls))) ) ),
inference(forward_demodulation,[],[f437,f429]) ).
tff(f437,plain,
! [X0: int] :
( ( bit1(pls) = legendre(min,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls))) )
| ~ zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) ),
inference(forward_demodulation,[],[f436,f298]) ).
tff(f436,plain,
! [X0: int] :
( ( bit1(pls) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),X0),bit1(pls))) )
| ~ zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) ),
inference(forward_demodulation,[],[f435,f298]) ).
tff(f435,plain,
! [X0: int] :
( ( bit1(pls) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),bit1(pls))) )
| ~ zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) ),
inference(forward_demodulation,[],[f359,f429]) ).
tff(f359,plain,
! [X0: int] :
( ( one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) )
| ~ zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) ),
inference(cnf_transformation,[],[f237]) ).
tff(f237,plain,
! [X0: int] :
( ( one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) )
| ~ zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) ),
inference(ennf_transformation,[],[f163]) ).
tff(f163,plain,
! [X0: int] :
( zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int)))
=> ( one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X0),one_one(int))) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X3: int] :
( zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X3),one_one(int)))
=> ( one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),X3),one_one(int))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_Legendre__1mod4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM942_5 : TPTP v8.2.0. Released v6.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 07:04:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (18251)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (18256)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (18258)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (18252)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (18254)WARNING: value z3 for option sas not known
% 0.14/0.38 % (18254)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (18255)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (18257)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (18253)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (18258)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.40 % (18259)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.40 % (18259)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.40 % Exception at run slice level
% 0.20/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.40 % (18260)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.41 % (18260)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.41 % (18262)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.42 % (18263)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.20/0.42 % (18262)First to succeed.
% 0.20/0.42 % (18262)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18251"
% 0.20/0.42 % (18262)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (18262)------------------------------
% 0.20/0.43 % (18262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (18262)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (18262)Memory used [KB]: 1056
% 0.20/0.43 % (18262)Time elapsed: 0.019 s
% 0.20/0.43 % (18262)Instructions burned: 35 (million)
% 0.20/0.43 % (18251)Success in time 0.076 s
%------------------------------------------------------------------------------