TSTP Solution File: NUM962_5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM962_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n008.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 : Thu Aug 31 12:17:09 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 57 ( 20 unt; 33 typ; 0 def)
% Number of atoms : 28 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 16 ( 11 >; 5 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 43 (; 26 !; 0 ?; 43 :)
% ( 17 !>; 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(type_def_8,type,
real: $tType ).
tff(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
bit0: int > int ).
tff(func_def_5,type,
bit1: int > 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,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
m: int ).
tff(func_def_12,type,
s: int ).
tff(func_def_13,type,
t: int ).
tff(func_def_14,type,
sK0: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
zprime: int > $o ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
twoSqu1567020053sum2sq: int > $o ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f444,plain,
$false,
inference(unit_resulting_resolution,[],[f299,f428,f357]) ).
tff(f357,plain,
! [X0: $tType,X1: X0] :
( ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X1,X1) )
| ~ monoid_mult(X0) ),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: $tType] :
( ! [X1: X0] : ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X1,X1) )
| ~ monoid_mult(X0) ),
inference(ennf_transformation,[],[f169]) ).
tff(f169,plain,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X1: X0] : ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = times_times(X0,X1,X1) ) ),
inference(rectify,[],[f82]) ).
tff(f82,axiom,
! [X0: $tType] :
( monoid_mult(X0)
=> ! [X7: X0] : ( times_times(X0,X7,X7) = power_power(X0,X7,number_number_of(nat,bit0(bit1(pls)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293',fact_81_power2__eq__square) ).
tff(f428,plain,
power_power(int,minus_minus(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) != times_times(int,minus_minus(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),one_one(int)),minus_minus(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),one_one(int))),
inference(superposition,[],[f417,f406]) ).
tff(f406,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,minus_minus(int,X2,X1),X0) = minus_minus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0: int,X1: int,X2: int] : ( times_times(int,minus_minus(int,X2,X1),X0) = minus_minus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
inference(rectify,[],[f59]) ).
tff(f59,axiom,
! [X2: int,X18: int,X19: int] : ( times_times(int,minus_minus(int,X19,X18),X2) = minus_minus(int,times_times(int,X19,X2),times_times(int,X18,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293',fact_58_int__distrib_I3_J) ).
tff(f417,plain,
power_power(int,minus_minus(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) != minus_minus(int,times_times(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),minus_minus(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),one_one(int)),one_one(int)))),
inference(forward_demodulation,[],[f416,f379]) ).
tff(f379,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f186]) ).
tff(f186,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/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293',fact_24_mult__Bit0) ).
tff(f416,plain,
power_power(int,minus_minus(int,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) != minus_minus(int,times_times(int,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),one_one(int)),minus_minus(int,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),one_one(int)),one_one(int)))),
inference(forward_demodulation,[],[f415,f379]) ).
tff(f415,plain,
power_power(int,minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) != minus_minus(int,times_times(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int)))),
inference(forward_demodulation,[],[f275,f315]) ).
tff(f315,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X5: int] : ( number_number_of(int,X5) = X5 ),
file('/export/starexec/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293',fact_48_number__of__is__id) ).
tff(f275,plain,
power_power(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) != minus_minus(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)))),
inference(cnf_transformation,[],[f129]) ).
tff(f129,plain,
power_power(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) != minus_minus(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)))),
inference(flattening,[],[f128]) ).
tff(f128,negated_conjecture,
( ~ power_power(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) = minus_minus(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)))) ),
inference(negated_conjecture,[],[f127]) ).
tff(f127,conjecture,
power_power(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),number_number_of(nat,bit0(bit1(pls)))) = minus_minus(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int))),times_times(int,one_one(int),minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)))),
file('/export/starexec/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293',conj_0) ).
tff(f299,plain,
monoid_mult(int),
inference(cnf_transformation,[],[f102]) ).
tff(f102,axiom,
monoid_mult(int),
file('/export/starexec/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293',arity_Int_Oint___Groups_Omonoid__mult) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM962_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 16:27:17 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TF1_THM_EQU_NAR problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.vYIR8a1wb9/Vampire---4.8_19293
% 0.16/0.38 % (19401)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19402)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.23/0.45 % (19406)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.45 % (19408)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.23/0.45 % (19407)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.23/0.45 % (19405)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.23/0.45 % (19403)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.23/0.45 % (19404)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.23/0.45 % (19402)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.45 % (19405)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.23/0.45 % (19405)First to succeed.
% 0.23/0.46 % (19404)Also succeeded, but the first one will report.
% 0.23/0.46 % (19405)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (19405)------------------------------
% 0.23/0.46 % (19405)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (19405)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (19405)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (19405)Memory used [KB]: 5884
% 0.23/0.46 % (19405)Time elapsed: 0.011 s
% 0.23/0.46 % (19405)------------------------------
% 0.23/0.46 % (19405)------------------------------
% 0.23/0.46 % (19401)Success in time 0.075 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------